A man is running at speed c (much less than the speed oflight) to catch a bus already at a stop. At t = 0, when he is adistance b from the door to the bus, the bus starts movingwith the positive acceleration a.
Use a coordinate system with x = 0 at the door of thestopped bus.
1. What is x(man)(t), the position of the man as a function oftime?
Answer symbolically in terms of thevariables b, c, and t.
2.What is x(bus)(t), the position ofthe bus as a function of time?

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