Two train carts, 1 and 2, are on a nearly frictionless track connected smoothly to a frictionless hill. Cart 1 weighs m = 500 kg and cart 2 weighs m = 2100 kg. Cart 1 was moving with velocity vo = 56 m/s to the left, before it struck cart 2 which was initially stationary and rebounds with velocity v in the opposite direction. After the collision, cart 2 reaches a height h = 15 m. If the collision is instantaneous, what speed (magnitude of velocity) v does cart 1 have after it strikes? Retain your answer to 2 decimal places. vo