1. The problem statement, all variables and given/known data Train is traveling between two stations 1000 m apart. Train never reaches cruising speed, instead engineer first accelerates at 0.1 m/s^2 and then immediately brakes at -.5 m/s^2. How much time is needed to get from one station to the other? How much of this time is spent accelerating? 2. Relevant equations Not really sure. I'm assuming that x=x0 + v0t + 1/2at^2 is used, but I'm not sure how to deal with the two different accelerations and the ratio between the time spent accelerating and braking. 3. The attempt at a solution The real problem is I'm not really sure where to start. I've had several attempts but can't find a way to relate T1 to T2.