A man is running at speed (much less than the speed of light) to catch a bus alr

Question

A man is running at speed (much less than the speed of light) to catch a bus already at a stop. At t=0, when he is a distance (b) from the door to the bus, the bus starts moving with the positive acceleration (a) .
Use a coordinate system with x = 0 at the door of the stopped bus.


What is Xman (t) , the position of the man as a function of time?

Answer symbolically in terms of the variables b, c, and t


What is Xbus (t), the position of the man as a function of time?

Answer symbolically in terms of the variables a, and t

Explanation / Answer

Xman(t) = -b + Vman*t Xbus(t) = 1/2*a*t^2

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