Did you know that there are over 2,200 known religions in the world? We are all born into one belief, religion, or faith, which influences how we see the world and everything and everyone in it, including ourselves. Do our beliefs divide and separate us, or do they bring us together in greater harmony? When you look up with awe on a star-filled night, do you ask who or what created all of this? Have you ever had a profound or deeply challenging experience in your life that changed your beliefs at the core of your being? Enlightened Pathways takes us on a journey of discovery to understand just how spiritual transformational experiences impact our lives and the world around us. Join us now as we deeply explore all that nourishes, heals, and inspires us. Welcome to Enlightened Pathways. Welcome. My name is Robert Cabeca, and I am your host today of Enlightened Pathways. And today, my guest, all the way from Arizona, is Phil Gustafson. Welcome, Phil. We met Phil a few years ago when I was in a NLP coaching certification. And during that time, I met Phil in a number of our online sessions, and I asked Phil one time if he could coach me on a couple of things. And he and I have been talking and meeting and collaborating ever since. Phil has become very endeared to me. I cherish our conversations. We meet every couple of weeks to have conversations about our own growth, what's going on in our lives. How can we be of support to each other? He has been a spiritual gold mine for lack of a better word for me, so that I am able to explore my own growth, but not only that, to be able to understand how to perceive other people's growth in their own life and how I can contribute to that as well. He recently relocated to Arizona from Massachusetts. And one thing that's really obvious to me is that he's always complaining about how cold it is in Arizona. So with that, I give you my friend and mentor, Phil. Well, Robert, it's a delight to be able to catch up with you this way. I'd hope to be able to travel to Portland that just didn't work. So I'm traveling electronically to be with you and engage in this conversation. We've had some great conversations over the last couple of years, and I look forward to our time together today. Yeah, so I like to start out our conversations by starting with a very simple question about what was early life like for you in your recollection of your own spiritual growth or religion that you were brought up in or belief system, and when you became aware of that and what that awareness at that time did for you? Well, when I was born, my mother was living with her in-laws. My dad was overseas serving our military during the end of the Korean conflict. And so I did not meet my dad until I was 10 months old. But she was Baptist by background, but my grandparents were Lutheran. And so she decided to take her son to the Lutheran church and see about him being raised there. So my early memories were that of going to the Swedish Lutheran church, which actually moved from Swedish to English during my early years, but also when we'd sing those songs and hear the preaching in the morning and then in the afternoon, my mother got home and would put on the LP player and play Tennessee Ernie Ford and several other of her Baptist favorite Sims. So I grew up with music from both traditions and an appreciation for a variety within our Christian faith. When did you recognize that you might have started to actually become aware of what that faith actually meant to you as a young person and when you might have started to maybe not question it, but explore what its role was in your life? I'm one of these, I guess, rare people who do not remember a time when I didn't have a faith journey as part of my life. I did because of my mother's background being a non-Lutheran or being in a kind of a Baptist tradition. I had the chance to experience that when I was friends of mine growing up in Erie, Pennsylvania. Many of my friends were of the Roman Catholic tradition, and so I got to learn some of that, some of their beliefs, some of the differences and some of the similarities we had with so in early probably in fifth or sixth grade that I started realizing there were some differences and experienced some level of judgment for having a different type of tradition than several of my friends around me, whether I was going to hell or not, those kinds of things. And I was more interested in seeing what we can find in common rather than what divides us. What differences we had, I always saw as different ways of diversity. I wouldn't use that term when I was in fifth grade, but I would see differences as an opportunity for diversity, not for division and not for judgment. So that was kind of a way that I grew up with that in mind. I had some questions as to whether the Lutheran tradition was indeed the right one for me. I had already, before I was looking at that, at the age of 12, was visiting with my cousins, and we were all talking about what we're going to be when we grow up. And my cousins gave their responses. They asked me what I was going to be. I said, are you going to be a jet pilot or a pastor? And they broke out laughing because they realized that I was not good pastor material for my behavior. But when my parents heard this, within half an hour, I was meeting with my pastor. And he said, well, I've seen that in you. You're going that direction. He wanted to challenge me to broaden my understandings so that I could see if this was a good fit for me or not. And so I did that. What was really faith shaping for me after that was time spent at a church camp, Lutheran church camp, Camp Luthalin, where I had a chance to meet people of various ethnic backgrounds, many of them were Lutheran, some were not. But they were racially disparate as well as lifestyle disparate. So we had a chance to expand my faith and be challenged in ways with the camp. So that was a very helpful time for me. My early years in school were in a school that was 50 percent African-American, 50 percent Caucasian. Then in third grade, I moved to a school which had 600 students, five of which were black. And then when I went to junior high, I was back to a 50-50 population. Again, most of my friends who grew up, the school was only five black, had no experience with that kind of diversity. And I was kind of seen as a stranger because I had no problem looking at a person, chromatic differences or whatever, but just working, just looking at the person's, the content of their character as Dr. King would later ascribe very nicely. And so those factors all kind of went into it. I looked at things that I went to college. I was a psychology major. I was in track to go into a PhD program in psychology, but the chair of the department who was an avowed atheist asked me what I was planning on doing after I got my PhD. I said, I was going to go to seminary. He said, well, why don't we have all the PhDs in psychology we need. But your God needs you as a pastor. So why don't you just skip the PhD and go into ministry? And that was a good experience for me to hear that affirmation from him. And just my experience in seminary was in Philadelphia. I grew up in Erie, which was a medium-sized city. College was in a small town, so going to an urban center to be able to experience the diversity there and a different faith background was always helpful for me to look at what differences we have, how they can point to the same thing. And that's kind of been a draw for me in my ministry, has been looking at that. I don't get into the big picture of making general statements that everybody should fit into. I kind of like the image of in faith the parable of the lost sheep or the lost coin. I tend to focus on that lost sheep or the lost coin that I do the 99 or the nine. And that's kind of where behind me I have an image, a friend of mine crafted for me as I retired from active ministry. My last sermon was on starfish. So rather than having crosses up on my wall, which I've had in the past, I chose to put the starfish up. There's a story that I was taught by one of our people about a beach with loaded with starfish and gentlemen walking on the beach and seeing a young boy picking up a starfish and throwing it into the sea. And he goes, what are you doing? So I'm picking up a starfish and throwing it back into sea so I can live.  You can't make those difference. And the boy picked up the one starfish threw it in and turned to the man and said, I made it for that one. And that's kind of that's been kind of my focus as we look at differences, as we look at diversity. What is the one thing that we can that can help that person journey forward to connect with a God who loves them? And that's kind of that's been kind of my faith. My faith journey has been in Lutheran Church as a pastor of various size congregations. But even though it has preached to crowds of anywhere up to 300 most times in the 30s, 40s, 50s, I'm looking for the one who needs to encounter a gracious God in their life that day. I can find a way to to invite that one to connect with God. I'm feeling I succeeded. That's remarkable. And I love the story of the starfish. Absolutely. Because I know for me in my own journey, sometimes I can feel quite helpless in how I can make a difference. It's like there's just so much going on. What can I do to make a difference? And even if I do make a difference, it's not going to be big enough to matter. And it's got to be it's got to matter. You know, it's got to matter and, you know, that type of thing. And forgetting that the most powerful place that I could ever be in my life is here in the present moment with whomever it is that I am with. And that's the only place that I can ever make any kind of a difference.  You know, by misheld or misappropriated beliefs in the past that tell me that, oh, what you're doing is just so insignificant. It's not going to make a difference.  So I know that like in today's day and age right now with everything that we got going on on the planet, sometimes in my conversation with people, they can feel quite overwhelmed. It's like, well, what can I do? What difference can I make? How can I show up? Maybe you can talk to that for a moment. I think that that being in the present moment, I mean, we have our paths and at times our paths have scarred us, but our paths can also instruct us. I try to play the game of golf and much of my game is based on trying to overcome my mistakes in my past, but try to try to focus on where I'm at each time. I think for people, your past should inform you but should not control you and your future is open with a variety of paths based on the choices you make at this time. And I see when I'm working with someone, sometimes I've been privileged to journey with someone in their end of life cycle. Other times as they're making life decisions, vocational, relational, just to be able to help them imagine what can this can be and what are they hoping to accomplish with what they're doing? And sometimes having people being able to articulate for perhaps for the first time, what their choices can mean can help them find a better path. I mean, when you come to the fork in the road, take it. There is a sense of going both ways. But let's explore which way can we see and understand that we can control everything. We can just control what we're doing now. But if we have an awareness of what might be, we can prepare ourselves for that. And that's a lot of what I do in what I've been privileged to preach with a group of people is help with stories and metaphors to help people create their own vision from there, what they're going to do. I'm not a person who gives you three steps and this is how you have a better life. I'm more of a person. Let's tell a story and I take my pattern from my ultimate mentor, which is Jesus Christ, who whenever he was asked a hard question would always let me tell you a story and would do those metaphorical stories so well that we call them parables or whatever. But I think as we as we listen, have a chance to listen to to a person who's in those situations to help them free them up from from bondage to their past to opening to a brighter future. And and one of the gifts I I've appreciated in the Lutheran tradition when we're at our best, when we're at our worst, I don't want to go there. But when we're at our best, we we live in what NLP calls metaprograms in the tension between either oars and and and and that living in that in that in that tension in between can be a very helpful way to look at things so we're not at one end or the other.  But I see I see good in both sides. And what we can craft as a nation is based on when we can live at the best of both and kind of demolish the worst of both both sides. And I think the same thing comes with with with people's faith journeys. Too many people. Have experienced church. Or in the Christian faith in fear of rather in moving towards. I'm afraid of hell. I'm afraid of judgment. I'm afraid of this. And certainly, there's there's a there's a cause for things. Are we in times those kinds of things? But if we live our life around fear, it limits what we can do. If we live our life around hope or faith or trust or love, that opens up gates for us to be able to do things to overcome fear, to overcome things. That's so that's kind of kind of where and that's again with starship with the starfish. I'm sorry. The starship starfish. We want to have a space, I guess, but in the starfish story that I can help the one and help the one open a future. Who knows what's going to happen when the starfish enters the water, but it has a chance of living life that didn't have before. And I think it's interesting that fear has with it so much energy that can be all encompassing. And for me, for many years, I know that fear felt overwhelming where I felt like I had no choice but to live my life in reaction to that fear. And then through various methodologies, spiritual teachings, NLP, core transformation, et cetera, it's all these different methodologies. I can learn how to interpret that energy. And instead of labeling it fear, I can actually tap into the energy of it and redirect that energy to where it's going to most support me and be the most resourceful for me. So because when I get into fear mode for me, and I guess for most folks, possibly is that I put myself into victim mode. I have to defend and self preservation and it's me against. So if it's me against all my barriers come up and who do I trust and why am I trusting and how long should I trust you for, et cetera. So I spend all this energy trying to figure things out instead of just being able to unlabel that energy from fear and actually utilize it in a more resourceful way that's where I can actually experience unconditional love, compassion, acceptance, forgiveness. I mean, our subconscious mind fight, flight or freeze. Fear can generate one of those three immediate decisions before we're consciously thinking about it. But then what we can do is we can allow that fear to control us and inform all our decisions or it can inform us as to what we can do. After our initial reaction of flight, flight and freeze, what can we do to the process? Is this fear life threatening? Is there something I can do about it? And that's that's I think part of where faith in spirituality can help is if we have an anchor beyond that fear, beyond our self, beyond our feelings. If if we if we have an anchor that leads us to trust and faith or to or to love, which can give us the gift of hope. St. Paul once wrote, faith, hope and love, these three abide the greatest of these is love. That I think love is is the ultimate answer to the fears of life. If we're afraid of judgment, you know, can you control it? No, if it's going to happen, it's going to happen. What can you do? Well, in the meantime, I can live a life of love as opposed to a life of fear. I can I can embrace the world and can embrace embrace those around me to assist them in any way I can. Or I can just lock everything up and build a mode around my castle in fear of faith, which way you want to go. And both of those can will result in a different in a different type of life. Pensioned earlier, the fork in the road and which one do you take? Am I going to go down that?  Which what do you do on a regular basis to support and nourish your continued spiritual growth? I continue in my retirement. I continue to to gather with others for worship. I think that that that's that is a key ingredient for me to connect with other people focusing on God. And that's not all Lutheran worship, it's different types. I think there's a wealth of traditions within the Christian tradition. There's also a wealth of traditions around faith communities around the world. Our Buddhist friends, our Islamic friends, our Jewish friends all have a wealth of spirituality that we can tap into that can that can benefit us. Our Native American religions and some of the other pagan religions can can can lead us very, very in very helpful directions. I also. And do spend, try to spend some focused time every day just kind of meditating. Sometimes it's around a practice in spirituality called a lecture, the vino, where you read a particular writing either of sacred texts or of of of contemplation and and read it and then read it to stop and then and then reflect upon it, then read it again. What is it? What is God telling me in this and read it again? Sometimes sometimes it's it's it's reading scripture or or or some other overt religious writing. Sometimes it's reading just a another source, you know, to me, C.S. Lewis is is often the screwtape. Letters has been one that I've I've used a few times. J.R. Tolkien's lowerings in the Hobbit, not all three parts of the Hobbit movie, but but at least the story itself leads some good some some good reflections as to what I would do, what we could do, what might have happened differently. And those those are ways that I I retap with myself. But I do like connecting with others on a regular basis for for communal worship and and and and and and conversation afterwards. Learn what what maybe I got from something or that when somebody else got it that I never that I never saw and and and hearing someone else preach, they'll often take a journey as entirely different directions I ever would, but it's been a great drive. It's a great ride to take up and in great experience to have. That's fantastic. And I'm just curious, where do you see yourself going? You said retirement, but I happen to know it's retirement. Two point. Oh. A colleague of mine from the Anilpiece Circus, Steve McVeigh, and I talk about a realignment, not retirement, that we are realigning ourselves by my friend, Greg Euthis, who who painted that wonderful picture, has also retooled himself in the life of post ministry, which in a great way. And I deeply appreciate their friendship. I'm doing. Part of that that starfish imagery has been in the last years in ministry has been doing a lot of coaching, working with people one on one to take them either formally or informally from a present state to a desired outcome. It could be sometimes a problem or it could just be a direction I want to go. I've done this with individuals. I was privileged in my in my retirement to to work with a congregation whose pastor had died and to serve as the interim pastor. So till such time as they call the new pastor and help that congregation move from their present state of grief and of doubt and and and struggle to a healthy position. So when the new pastor arrived, they were in a good place. And if God willing, that may be another another journey for me. But I also am working with with with coaches to help other coaches do things. Well, I work with the ICF Arizona chapter with professional development to seek help provide tools for coaches to go. I also have a course at the AP Center on spiritual leaders that there are some unique things about spiritual leadership that that that coaching can help and and and I'll pick and help them understand that. So I work with them in that program. So those are some of some of these, but I'd like to do one on one coaching or group coaching or team coaching. I love doing those as well, to help move from that present state to that desired outcome. Well, thank you so much, Phil, for that. And unfortunately, that is all the time that we have today to speak with Phil. I really appreciate your time here, and I look forward to talking with you again off camera, as it were. And faithmindset.net. And if you wish to be in touch with me, I'll be happy to do that at a great Webmaster who got that site up for me. Web link up on our credits and on our website as well. So if you'd like to, you can get in touch with Phil. And just a few closing remarks and a shout out to today's executive producer and sponsor Bridge to Heaven Healing and Lipin Lizards, which is the premier source for healing crystals and readings with four locations. You can visit www.lipinlizards.biz for more information. Also, a big thanks to our co-executive producer, Dr. Anna Cabeca, the creator of Mighty Makka Plus, the daily nourishing supplement that improves metabolism and reinvigorates the body. Visit drannacabeca.com for more information. Also, if you would like to get more information about this show to reach out to us or to sponsor us, please visit www.deepbeing.org. And a quick shout out to the crew, Director Pat McCartney, Audio and Sound, Dale Ashme, and Cameras, Travis Nadeau, as well as to the Portland Media Center and their team, Tom, Dino and Warren. Thank you for watching Enlightened Pathway is in spending your valuable time with us today. Until next time, play, have fun, be happy.


Deep cleaning for coronavirus.  I didn't say anything, I just said we're cleaning for coronavirus. I know, but why am I the only one cleaning? I'm cleaning. You're not. I am. Look, I'm getting this thing. Bad! Hey, you missed the spot. Can you get that? I didn't, I didn't, I didn't do that, I'm- Y'all! Hi! Dootie coronavirus. I will be dying.  I wanna get coronavirus for the clout so bad, I would vlog every day of my treatment, then I could just play RuneScape all day, play video games all day. Yeah?  All right, wait, I'll keep this intro short. I'm gonna run only Philly Special and I'm gonna win. I'm gonna go on Defeat in Super Shark KO with only Philly Special, so I'm good? Oh my god, this is- You know that play, right? Yeah. You know what happens in it? Do it all the time. What happens in a play? It's an offensive play, right?  Yeah! Video time, baby! Okay, so coronavirus actually shut down MSU. Like entirely, I have all online classes for the rest of my final year here, which is kind of really sad, actually. Nice, Ray Lewis pick, but point being, I probably should be daily uploading now because I have so much time, so I'm not gonna guarantee anything, but you should be getting a lot more videos, so that's really exciting.   It doesn't have a lot of viability in actual Madden, so we'll see, damn, and he's got Chris Johnson, Dick Lynn, I want that Chris Johnson. I want it so bad. I don't even think the half-bag gets any touches on this play, but I want it. All right, well, Defense is definitely gonna win some championships in this, especially if I can only run Philly Special, so I really just can't get scored on. This is another run play. No, it's a play action, and I am completely out of position, but it doesn't matter, let's go. Same thing, we're just gonna hit him in the backfield this time. Yes, sir. Yes, sir, let's go! And a big hit from Ray Lewis, lit him up so hard. Fourth and four, it's gonna be the play action again. Yes, and he wants to throw. No, he threw in the middle again! Damn it. There it is, no. Ray Lewis is out of position, he jukes. He's about to get to the end zone. Can we get the goal line stop? This is a half-back dive. I'm going on Jair Alexander, I'm so confident. Oh, it's not a dive, it's a pitch, but I'm there! What a user play. There it is, I got the post. I got all this covered, no! Jair, oh my God! Jair Alexander didn't jump for it, but also he didn't catch it. What was that? I have everything covered back here. Come on! No, I was right there! Dude, I was on top of that, why did I not pick it off? We're gonna play underneath, we're ready for Chris Johnson if he's coming. Yes, he's coming. Yes, yes! Go on, stop! My ball, really special time.  I think Tyree Kill passes the ball. Is that correct? Or no, I forgot how this play works. Oh yeah, yeah, yeah, it is Tyree Kill. So Tyree Kill's got it in his hand.  I goofed that entirely. Whoops. All right, we're gonna try again. I don't really wanna throw it to Mahomes because I feel like that's just the shittiest pass on this. No, dude, I'm just getting rocked. I've made some errors, some pretty big errors here so far. All right, don't sack me. We don't ever speak of this moment. This moment never gets brought up ever again. Never, ever, ever. Did we talk about this? Also a huge thank you to Raid Shadow Legends for continuing to sponsor my channel. I love this game and I love this company. I wanna tell you about it. In essence, Raid Shadow Legends is a completely free turn-based RPG game. You can collect over 400 different champions. There's gonna be a campaign like you're used to with a lot of games. On top of that, there's faction wars. There's awesome boss fights. So I'm gonna go into a boss fight right now and show you. So I take my five best champions. I'm gonna fight through a couple waves of just kinda lower tier enemies. Kayle's gonna take them all out with one hit, it's so sick. Yeah, goodbye, that's that easy. And now we move on to the boss fight. I'm just gonna start out going for the big guy. Double, yeah, we've almost completely killed him already and that might be it. Oh, nope, that's it. We got him. So make sure you download the game. There's a link in the description. On top of that, if you are a new player, you're gonna get 10,000 free silver and a free champion called Hexweaver. All that free stuff will be waiting for you in the top right corner of your screen where this little chest is right here. This is that free champion Hexweaver you're gonna get by the way. If you don't like that, I don't know what to tell you. Also, you can play raid on your phone and on your desktop now, which is really cool. They also have a season one battle pass. It's out right now. You can get tons of rewards like free energy refills, gems and artifacts, and even epic and legendary champions if you knock out those challenges on the battle pass. So make sure you check that out. But that's all for now. Make sure you click that link in the description. Enjoy the rest of the video.  It looks like one of the important things is gonna be wide receivers for sure. So I'll take Travis Kelsey, but if I were to have like a fast wide receiver that got that ball or to throw it up to, both of those would be really good. Not a Patrick Willis right here. Give me an offensive pick. Give me like, I don't even know who. Just give me somebody. I get my homes again. I don't even want it though. I'm gonna try and draft a couple more times to get a better Philly special team. Defense, we'll start with Jaylen Ramsey. I'm taking this. I've been drafting for a little bit here and I've been getting horrible locks. I'm just saying this theme no matter what. I guess Keenan Allen's actually pretty good. I'm cool with that. Okay, please, please, please, Lamar. Yo, wait, he's a wide receiver. Hey, but that's pretty good. We got two really good wide receivers. This could work. We got Snoop Dogg. Keenan Allen's gonna be throwing it. Technically, I kind of want to switch those two so that Snoop Dogg can get it and then I can run in the backfield with him. But let's just run this the way it's intended and go from there. Okay, so throwing to my QB I get, I don't even think a single yard. I'm just gonna throw it. I'm gonna throw it.  Let's go! Keenan Allen with the 20 yard reception. I wanna see how he figures out how to stop this. All right, he's actually gonna use her in the middle of the field. Oh, wait, okay, wait, good ball. Dude, why is Keenan Allen throwing dots? Oh my God. I mean, it was a difficult catch anyway, but it was a good throw. But okay, we just gotta connect here. Tyreek, he's there. I don't know why I expect him to make such good throws, but might have to go OT. If we can stop him, we'll go OT. This is a run play though. Oh, it's not. Okay, but I'll take the fumble. Wait, take it to the end zone. Go, go, go. Nope. No, you fucking, oh my God. I was that close to salvation, bro. He had like 20 speed. All right, let's try and get it out through to Sean Watson. Let's see where his user goes because that's like the only throw I can make here. All right, hit him. Okay, bad. Actually, great throw. Okay, I have, oh, why did I fall on the ground? Why did my dojo just fall on the ground? I don't know, but I got the pick. Oh, all right. I'm gonna hit him. I'm gonna feed Snoop Dogg. Let's go.   That's actually really bad. Good open field tackle. I didn't even wanna switch on. What a tackle. That's pretty much the game. Dude, I gotta get like a yard. I'm throwing this to Sean Watson. I got it, bro. For the game. This is it, boys. We're gonna get our first dump with just Philly Special. Is it there? Yes, it is. There's Sean. Can't make the throw, bro. You just gotta float it in there. Let's see where he's looking. Right here. No, he goes deep. Game. That's the game anyway, even if Ramsay doesn't return this. All right. He's in over time with the snap of the ball. Oh, he's griefing now.  That cheesy motherfucker. Are you kidding me? I'm not gonna win off of snapping the ball now because he did that.  I can't believe that.   I didn't even need this. Wow, that was whack. Have you guys ever seen that before? That's whack that people do that. I've never seen that before. Victory, big dub. We get a defensive pick. I'm gonna go with Colias. Let him wreak havoc while I use her. First in 15, my opponent is like three levels higher than me and there's a double team on that guy, by the way. He just kinda ignored it. Well, second to 30. Okay, I think our reign of terror has just ended. I don't wanna give up too early, but I'll be honest, this is not a good spot to be in. All right, to Sean Watson. Dude, oh my God. A user playmaker did. He was in a perfect position to make a play. I'm sorry, boys, but I can't run it again because if I run it again, I'll get a safety this happened last time. So I have to try and dig myself out in a different manner. I'm gonna hit trade burton underneath. I'm gonna get a good downfield block, but we're about to find out. All right, he's a little faster in the backfield. He steps up, we make the throw. Picked off. All right, well, we gotta hopefully take this into OT. Obvious passing down here. I've got the QB spy on. Lots of slants, go get him.  Get it! Let's go! Play some OT, my friend. Am I allowed to hit LT and just run around in the backfield like a ball carrier? Can I make a move here? Oh no, I can't.  I'm gonna send hot blitzes every time. Oh, he goes with a run play. Patrick Chung, let him up. I don't think I'm gonna be able to dig out of this. I'm feeling special though, I'll be totally honest. It's just too obvious. We're gonna have to make something up. I might try and use the playmaker to show on Watson if I can get to the edge, but I usually can't. I can't. The blocking is horrible on it. I don't know why. Unless I get like the gnarliest pick six in my life, that's game. Oh, okay, that's bold. Okay, it's okay, fine. I'm gonna try it one more time, but this is definitely the hardest one I've ever done. This play is bad. All right, Russell Wilson, that's somebody to throw to in the open field. Feels so weird saying that about a quarterback. Got the man himself again. He really didn't even do that much, but whatever. And Brian, don't do this team just godly. All right, well, if we're gonna make it happen, we're gonna make it happen right here. What this challenge really is, is try to win without scoring. I just can't score with this play. So I'm just hoping that my defense is so damn good that he literally can't gain yards, but see like even though that's the thing, even when the play sets up and the people are open, the pass is always so bad that you can't like actually get an open field to make a play. And I can't even hot route, dude. I couldn't even hot route Tyree Kill on like a streak and hope she's not impossible. We're getting good up.  So he's gonna zero in on Russell Wilson. I'm just gonna lob one up. Oh God. Oh, this could be bad. He's going for the wiggles. Doesn't get him. What are we thinking boys? Is he just gonna lob this one deep? Yes sir. Pick that off. Yes sir. Okay. Get up.  Let's do it. Damn. Early OT. If I can make something happen at Philly special, I can do this. Okay. I hit him. He's there. He's going to this. He wants this corner out. Nope. He just throws underneath. I don't think he got much on that. Okay. I could just step up and run. Can I? Can I? Damn it. I want to get in the open field with Snoop Dogg. I feel like I can actually make a play like that. Let's see where he wants to go. He throws this. Picked off. I think I need to throw this to Russell Wilson to complete this. I got to make the pass. All right. Get it in there. Wait. Look. Oh. You win. Wait, what? Wait, wait, wait. Why does he say touchdown? What? Hey. He comes only boys. Second and two.  No. No, no, no, no, no.  This is actually horrible now because you know I can't score. It's triple bad now. And he got the two point conversion. It's over. If I pulled this off, it would be one of my greatest feats of all time in that. So he's just screaming the corner because he knows he can. It's kind of genius actually. But we're getting that pass off. I can get that pass off. And to his hands, we got room. Yeah, look dude. Look at him just scream that right there. It's actually genius. And Russell, why did you drop that though? This is it boys. This is all she wrote. Oh, okay. So I got the pass off and he's going to score 14 points out of me. That's too bad. Defense did not come in clutch in the final game. I really need a defense there. That's going to conclude this one. This was an awesome one though. I really hope you enjoyed. I will see you in the next one. Peace out.


So now let's consider another example of vector addition in two dimensions applied to aerospace. In this particular problem we have a micro drone, a small drone somewhat sketched here, that is traveling with an airspeed of 8 meters per second and a heading directed 30 degrees south of west. There's a steady northerly breeze with a wind speed of 5 meters per second and a bearing of 150 degrees. If no correction is made for the wind, what is the bearing and ground speed for the track of the drone and what is the drift angle between the drone heading and the track bearing? So this problem is going to require us to define some vectors, to draw some vectors and to put those vectors together to add the airspeed and the windspeed to determine the ground speed. And so again, what we're looking for here, we'll recognize the equation that we're going to use here. Ground speed equals airspeed plus windspeed. Or to write that a little more simply, the velocity over the ground is equal to the velocity through the air plus the velocity lent to the flying drone in this case from the wind itself. So let's start by going ahead and drawing what we actually see here. So we see there's an airspeed of 8 meters per second with a heading directed 30 degrees south of west. Now notice that's a little bit different than if we just set a heading, typically that's considered to be from the north and measured in a clockwise direction. In this case, that's not what's happening, we're actually measuring 30 degrees south of west. So I'm going to go ahead and sketch, we'll go ahead and determine west as being to our left here and we'll estimate something here that's about 30 degrees south of west. 30 degrees and we'll give that a magnitude of 8 meters per second. Typically, I like to go ahead and draw vectors, velocity vectors coming out from whatever's actually moving. Continuing to read, we say there's a steady northerly breeze with a wind speed of 5 meters per second and a bearing of 150 degrees. Now northerly means coming out of the north, so, and here we have a bearing of 150 degrees. Now that's where we're going to use our typical description of what bearing is, which is measured from a northerly direction. Here's north and that was our west and we went south of west, but now we're going to go typically clockwise. Okay, there's our clockwise 150 degree bearing and it's going to be at 5 meters per second is the magnitude that we're considering here. So now that we've sort of drawn our picture here, let's actually take these two vectors, you can sort of see that the wind is adding here, but what we're going to ultimately end up doing is adding our vectors and to add the vectors, we probably want to consider them a little bit more head to tail in our vector sketch here. So let me go ahead and take my 8 meters per second and my 5 meters per second and add those two things together. Actually, I just didn't add them head to tail. Let's go ahead and add them head to tail. There's our 5 meters per second and so what we're looking for is the addition of those two. There's our ground speed as a combination of our air speed and our wind speed. So now that we've sketched our problem a little bit here and we've recorded the information from the word problem over here in our sketch, let's go ahead and work through our process. The first step in considering this is to define a basis. In other words, to consider an orientation that we want to think about the problem so that we can break our problem down into component parts. And again, we're going to take advantage of our sort of standard method of measuring things where we're going to go ahead and define north as being positive for our y-axis and east or to the right in this case as being positive for our x-axis. So there's our x-axis and our y-axis. So when we label a component with x, we mean positive to the east, negative to the west and when we label it with a y positive to the north and negative to the south. So now that we've defined our basis, our second step is to go ahead and determine components for each vector that we have already described in its magnitude and direction form. So I think our first vector that we want to look at for that is our airspeed vector. So I'm going to go ahead and sketch a triangle associated with their airspeed. Notice it's pretty handy that we use that description of 30 degrees south of west because now we have an acute angle that we can use in our right angle. And here is our value, the airspeed x component and here is our airspeed y component. So now we revisit our trigonometry remembering our letter mnemonic saucatoa and we start to identify relationships between vax and vay and the hypotenuse which has a value of 8 meters per second and the angle that we know. So now if I look at the relationship, I recognize the sign of the angle. In this case the sign is my y component over my hypotenuse. So I can recognize that the sign of 30 degrees is equal to vay divided by 8 meters per second. Well if I re-solve that we know that vay is equal to my 8 meters per second times the sign of the 30 degrees. And you should recognize that the sign of 30 degrees is actually a number that you should know. Alright that's one half so we end up with a value here of 4 meters per second. Notice however there's an important piece that we haven't looked at carefully yet. Look at the direction that I'm pointing my vay, my velocity of my y component, or the y component of my velocity, which direction it's pointing. It's pointing down or south, down on our page, south in our description here and we defined positive as being up or north. So in this case we're going to go ahead and give it a negative value. So it's pointing in that particular direction. Notice we didn't need to think about that positive or negative sign when we were building our triangle but now that we've established what the magnitude of that is we'll go ahead and give it a direction in terms of a sign. Let's do a similar thing for vax recognizing from this equation that we're going to have the cosine of our angle and we're going to end up with 8 meters per second times the cosine of 30 degrees. The cosine of 30 degrees, 0.866, and we multiply that out we're going to get a value of 6.93 meters per second. Can you see the sign of this particular value? Let's take a look. It looks like our x component is going to the left or to the west and we defined east or to the right as being positive so we'll also put a negative value there. And it will be important to remember that negative value when we add our components later. So now we've established our components for our airspeed let's also follow the process for establishing the components for our windspeed. If we look at our windspeed here we notice we have a reference axis here of north and we can bring the windspeed down and it's 150 degrees. Now in this case we would like to go ahead and create again for ourselves let's make this a little bit longer so we have some more space we'd like to create a right triangle again so we can use our Socketoa trigonometric relationships. Well I know that this is 150 degrees so I can draw my triangle like this and recognize that this angle here is 150 degrees the entire angle minus 90 degrees. So this is a 60 degree angle. And then this would be our velocity of our windspeed in the y direction and the velocity of our windspeed in the x direction. Notice I put the arrows so they end up going head to tail and end up with the heads in the same position. It's not the only way I could have done this one I could also have done a triangle that looked like this. If we look at that we can see that this angle here is 180 degrees 180 minus 150 is 30 degrees. So the other way I could have built this is to build this triangle recognizing a 30 degree angle and defining the velocities the velocity components like this. So now let's go ahead and see if we can find the components for the windspeed. If I look first here I can recognize again using my trigonometric relationship that I have, let's go ahead and see if we can find VWY the windspeed, the y component of the windspeed. And I can recognize here that here's my angle and I'm going to look across here so I know that the sine of my angle is the opposite VWY over the hypotenuse my 5 meters per second. So I can translate that there multiplying both sides by the 5 meters per second 5 meters per second times the sine of my angle which in this case is 60 degrees. Now I'm going to do the same thing down here on this triangle but notice on this triangle I now have the adjacent angle that the cosine of my angle is equal to VWY over 5 meters per second. Well up here it's the sine but down here it's the cosine but you'll notice that there are different angles in this case it's 30 degrees. The other way I could have recorded this is 5 meters per second times the cosine of 30 degrees. And remember these complementary angles here are going to have the sine of one angle is going to be equal to the cosine of the complement so they're actually the same value it doesn't matter how you set it up as long as you're careful with which one is the sine and which one is the cosine you should end up with similar values. And in this particular case the similar values I'm looking for let's see here 5 meters per second is going to be times 0.866 so there's the value we're looking for is going to be 4.33 4.33 meters per second. Let's also consider which direction this 4.33 is moving in notice our Y component is down or south so that's going to have a negative value. Now let's go ahead and go with the other piece VWX and now I can choose either one to look at I'm going to go ahead and use this top one recognizing it's the cosine 5 meters per second times the cosine of 60 degrees or down here the sine of the 30 degrees and when we calculate that's a value we should know of 1.5 we get 2.5 meters per second again let's check which direction we're going in in this case we're going to the right or to the east and notice that's positive and positive value here and that will be important for our next step so now our third step now that we've established the components of the vectors that we know is to take those components and add them or should I say combine them because addition and or subtraction in this particular case we recognize our relationship ground speed equals air speed plus wind speed we're going to break it down to the two component parts we're going to combine to find my velocity my ground speed velocity we'll find the x component and the y component by adding the appropriate components from here so let's see here vgx is going to be equal to vax here's my x component here negative 6.93 meters per second and I'm going to add to it my x component of plus 2.5 meters per second and when I add those two things together I get negative 4.43 meters per second similarly with vgy there's our y component of the air speed negative 4.0 meters per second and then our component our y component of the wind speed negative 4.33 meters per second and when we combine those two things together we end up with negative 8.33 meters per second it can often be helpful in a case like this to go and look at your graphical addition where you drew it before and see if that makes sense if we look at our components here let's consider first of all our x components in our case here our x component of our air speed had a relatively large value to the left or to the west and then our x component of our wind speed had a positive value in the other direction so you can see how we went negative and then positive and our resulting vector ended up having a negative value and that's what we see if we look for the y component you'll see we had a negative component for the air speed and we had an additional negative component for the wind speed and those combined to give us a large negative component for the ground speed so it seems like our directions are lining up appropriately in this particular case alright now we've done step 3 which is to add our components our next step is to translate components we have all the information we need to define the ground speed vector however we would like to be able to express this ground speed vector in terms of magnitude and direction so we're going to go ahead and represent our ground speed velocity now in terms of our two components here's our first component of negative 8.33 meters per second notice the negative is only important in the case of me pointing the direction here but now I'm going to turn it into a triangle so really it's only the magnitude that we care about and similarly I'm going to go ahead and get my ground speed of negative 4.33 meters per second it's kind of important which direction we're going in here but that's the direction is defined by that negative and now we care about that particular length so I'm trying to find the magnitude and direction of the vector vg so what do we do to do that we go back to our triangle trigonometry once again pick an angle I'm going to go ahead and choose this angle to do my calculation of the angle we'll define that again as angle theta alright and we recognize here that the tangent of our angle the tangent is typically going to be the one that we use when we have the components and we want to work backwards the tangent of the angle is going to be equal to the opposite side over the adjacent side in this case our opposite side is 4.33 meters per second and our adjacent side is 8.33 meters per second noting that the meters per second cancels out we get a ratio of .532 when we take the inverse tangent making sure we're set for degrees we find an angle value of .28 degrees now it's a little too early to call that the actual bearing of my drone because notice it's relative to this particular triangle we could say that it's .28 degrees west of south that's one of our possible descriptions or we need to figure out is there another way that we can sort of describe it let's think about this in terms of a northern bearing and we recognize that we have something that is 28 degrees right here there are actually two descriptions that we can use two bearing descriptions we can either go in our standard clockwise direction which is going to be 180 degrees plus the additional 28 degrees to keep going or a total of 208 degrees or we can go the other direction in that case if we're going in the counterclockwise direction that's going to be a negative value that's going to be the equivalent of 180 degrees if we went all the way 180 degrees but then came back 20 180 degrees minus the 28 degrees gives us a value of 152 degrees but because we went in the counterclockwise direction it's a negative value either of these two values are legitimate values for describing the actual bearing of our drone either of those two values is legitimate as they define the same angle okay so we've established the bearing of the drone the last piece that we need to actually establish here is the magnitude or the speed the ground speed of the drone itself so to complete the calculation of the ground speed we'll recognize again that we have a right triangle and use the Pythagorean theorem a squared plus b squared equals c squared where my hypotenuse is the unknown ground speed that we're trying to find and we'll square both of the sides here notice again the signs are not important especially in this case because the squared will remove the negative times the negative is the positive so I take 8.33 meters per second quantity squared and I add it to 4.33 meters per second quantity squared when I do that I end up with the value vg squared is equal to roughly 89.0 meters squared per second squared and then when I take the square root of both sides I get a value of 9.4 meters per second and in this case I could say 9.43 but if I look carefully although I kept a number of significant digits throughout the problem when I look at the end I realize that the best I could say this was 8.0 and perhaps 5.0 since it's a word problem I can assume maybe one more significant digit but that's probably the extent of what I consider comfortable to include so there's my ground speed velocity of 9.4 meters per second now there's one more piece that the problem asked us for it asked us for the drift angle in other words the difference between the angle that we're actually heading and the angle that we're actually bearing the track bearing basically the track being the path of the drone itself so if we want to consider that we're going to need to look at each of these pieces here so I'm going to look at the air speed I recognize that the air speed is 30 degrees south of west and if I look carefully here I know that my final track of my drone was 28 degrees from south west of south and so the angle I'm looking for here is this angle that's in between the difference between those two things there's a couple ways to calculate this but if you recognize that in this quadrant this entire thing needs to add up to a total of 90 degrees then we subtract the sum of these two things and we establish that we have a 32 degree difference so in this particular problem you'll notice that the wind is actually if you look carefully directly perpendicular to my air speed I'm traveling in what's called a crosswind this is a crosswind actually almost all winds have what's called a crosswind component you can break the wind down into the component that's parallel and the component is perpendicular well in this case the entire wind is a crosswind and that crosswind changes the direction we're going and establishes what we call a drift angle in this case of 32 degrees as it turns out there are some ways to solve this problem to simplify the problem by thinking about it a little differently we'll see that in the next video