IB Physics SL/HL A1-3. Mechanics. Ex.1 (Paper 2). A railway truck.

A railway truck on a level, straight track is initially at rest. The truck is given a quick, horizontal push by an engine so that it now rolls along the track.
The engine is in contact with the truck for a time T = 0.54 s and the initial speed of the truck after the push is 4.3 ms . The mass of the truck is 2.2×10 kg.
Due to the push, a force of magnitude F is exerted by the engine on the truck. The sketch shows how F varies with contact time t.
(i) Determine the magnitude of the maximum force F exerted by the engine on the truck.
(ii) After contact with the engine (t = 0.54 s) the truck moves a distance 15 m along the track. After travelling this distance
the speed of the truck is 2.8 ms . Assuming a uniform acceleration, calculate the time it takes the truck to travel 15 m.
(iii) Calculate the average rate at which the kinetic energy of the truck is dissipated as it moves along the track.
(iv) When the speed of the truck is 2.8ms it collides with a stationary truck of mass 3.0×10 kg. The two trucks move off
together with a speed V. Show that the speed V=1.2ms.
(v) Outline the energy transformations that take place during the collision of the two trucks.