1. A crate was pushed down a frictionless ramp. Its initial speed at the top of the ramp was 3.2 m/s. Its speed when it reached the bottom of the ramp was 9.7 m/s. The ramp makes an angle of 25 with the horizontal. How long is the ramp? [5 marks] 2. A wrecking ball hangs from a crane on 10.0 m of cable. If the crane swings the wrecking ball so that the wrecking ball is at rest when the cable makes an angle of 30.0 to the vertical, what will the speed of the wrecking ball be as it falls back to the vertical position? [5 marks] 3. A worker on the roof of a building that is under construction dropped a wrench over the edge. Another workman on the eighth floor saw the wrench go by and determined that its speed at that level was 33.147 m/s. The first floor of the building is 12.0 m high, and each successive floor if 8.00 m high. Neglecting air friction, how many floors does the building have? How fast was the wrench falling just before it hit the ground? [5 marks]