Please answer with steps and set the reference point for each questionFor question 2 can you do vector diagrams for before and after the collision

Assignment: Energy and Momentum answers to the correct number of significant digits and with the correct units. Questions 1. Calculate the final speed of a 1500 kg roller coaster if it has an initial speed of 16 m/s but reduces its elevation by 8. 6 m by coasting down a frictionless incline. (5 marks) 2. A 0. 50 kg cue ball makes a glancing blow to a stationary 0. 50 kg billiard ball. After the collision, the cue ball deflects with a speed of 1. 2 m /s at an angle of 30 from its original path. Calculate the original speed of the cue ball if the billiard ball ends up travelling at 1. 6 m/s. (7 marks) 3. A bullet of mass 45 g is fired at a speed of 220 m/s into a 5. 0 kg sandbag hanging from a string from the ceiling. The sandbag absorbs the bullet and begins to swing. To what maximum vertical height will it rise? (8 marks)