A train starts from rest and accelerates uniformly at 2 m s-2 for T T\,T seconds. It then travels at constant speed for 10 seconds before decelerating uniformly at 1 m s-2 until it comes to rest. The total distance travelled is 128 m.
Show that 3T2+20T−128=03T^2+20T-128=03T2+20T−128=0.
Determine the value of TTT.
Find the total time for which the train is moving.