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.