
A wealthy businessman has been reduced to taking the bus to work. The bus driver, assuming that a businessman certainly wouldn't be waiting for a bus, passes up the bus stop, continuing with a constant velocity of 20 m/s. The businessman starts running from rest, but can only accelerate at 1.5 m/s2. How much time will it take the man to catch the bus? Also, how far did he have to run?
Remember: For full credit, your solution should fill the entire page and should include (1) a diagram, (2) words, and (3) math. In your explanation, you should explain how you knew which equation to use and how you solved for the final answer. You should also state whether your answer is reasonable. For example, would a human really be able to cover that distance in that amount of time.
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