Answer the questions with completed solutions.

1. A train started from rest and moved with constant acceleration. At one time it was traveling 30 m/s, and 160 m farther on it was traveling 50 m/s. Calculate (a) the acceleration, (b) the time required to travel the 160 m mentioned, (c) the time required to attain the speed of 30 m/s, and (d) the distance moved from rest to the time the train had a speed of 30 m/s. (e) Graphxversustandvversustfor the train, from rest.

2. Two subway stops are separated by 1100 m. If a subway train accelerates at +1.2 m/s2from rest through the first half of the distance and decelerates at 1.2 m/s2through the second half, what are (a) its travel time and (b) its maximum speed? (c) Graphx,v, andaversustfor the trip.

Answer

1. a) 5.0 m/s2b) 4.0 s c) 6.0 s d) 90 m

2. a) 60.6 s b) 36.3 m/s