(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A fugitive tries to hop on a freight train traveling at a constant speed of 6.0m/s. The fugitive starts from rest and accelerates at 4.0m/s^2 to his maximum speed of 8.0 m/s. How long does it take him to catch the train? What is the distance traveled to catch the train?

3. The attempt at a solution

Displacement of fugitive=Displacement of train

D=VoT +1/2aT^2 So...

VoT +1/2aT^2 = VoT +1/2aT^2 Plug in some values...

0 + 1/2aT^2 = VoT + 0 Now I will rearrange the equation to solve for T (I'm going to eliminate a double root here, but it really doesn't matter I think)

T=2Vo(of the train) / a (of the fugitive)

T=3s

Now to find the displacement of the fugitive when he catches the train, I plug in 3s into the equation d=1/2(Vo+V)

d=1/2(0+8)3

d=12m

It takes the fugitive 3s to catch up to the boxcar. The fugitive travels 12m to catch the car.

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# Homework Help: Kinematics train problem

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