An astronaut kicks a football on a level area of a planet. He kicks the ball repeatedly at a wide range of angles from nearly zero to almost 90 degrees above the horizontal, but always as hard as he can which gives an initial velocity of 11 m/s. The astronaut notices that the maximum distance the ball lands away from him is 23 m.

a) Calculate the accleration of gravity g on the planet. What is that value?
I know you use the formula acceleration = v02 sin 2θ / s but I can't seem to get the right answer.

b) What kicking angle above the horizon gave him the longest range of 23 m?

c) How far away would the ball land if he kicked it at an angle of 65 degrees above the horizon.


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