Large freight trains accelerate very slowly. Suppose one such train accelerates from rest, giving its 0.350-m-radius wheels an angular acceleration of 0.250 rad/s². After the wheels have made 200 revolutions (assume no slippage):

(a) How far has the train moved down the track?

(b) What are the final angular velocity of the wheels and the linear velocity of the train?

Strategy
In part (a), we are asked to find x , and in (b) we are asked to find ω and v We are given the number of revolutions θ,
the radius of the wheels r, and the angular acceleration α.