physics
posted by Laura on .
Two trains face each other on adjacent tracks. They are initially at rest, and their front ends are 50 m apart. The train on the left accelerates rightward at 1.05 m/s2. The train on the right accelerates leftward at 0.93 m/s2.
(a) How far does the train on the left travel before the front ends of the trains pass?
(b) If the trains are each 150 m in length, how long after the start are they completely past one another, assuming their accelerations are constant?

The distance covered is 50 m, so let the rightmost train go x meters, the left goes 50x m in the same time...
x=1/2 aright*time^2
50x=1/2 aleft*time^2
divide the equations
x/(50x)=aright/aleft
solve for x (right), and 50x (left)
b. now, the distance apart the ends starts at 350m.
one goes y, the other 350y
solve it again, only this part find the time.