What is the position of man as a function of time

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Q. A man is running at speed c (much less than the speed of light) to catch a bus already at a stop. At t=0, while 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 door of the stopped bus. What is x_{rm man}(t), the position of man as a function of time?

Reference no: EM1369391

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