You want to visit your friend in San Diego over the weekend. To save money, you

Question

You want to visit your friend in San Diego over the weekend. To save money, you decide to travel there by train. But you are late finishing a paper, so you are late in arriving at the train station. You run as fast as you can, but just as you reach one end of the platform your train departs, 30 meters ahead of you down the platform. You can run at a maximum speed of 8 m/s and the train is accelerating at 1 m/s2. You can run along the platform for 50 meters before you reach a barrier. Will you catch your train?

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Explanation / Answer

You are 50m from the barrier. The train is 30m ahead of you and 20m from the barrier

x = x0+v0*t+0.5*a*t2

20 = 0.5*1*t2

t=6.32s

It takes you 50m/8m/s = 6.25s to get to the barrier so you'll just barely make it

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