PLEASE, SHOW YOUR WORK

1. A bottle rocket is shot with a velocity of 12.0 m/s at an angle of 60-deg. If the bottle rocket undergoes a 1.2 m/s/s acceleration upward for 4.5 s. What is the maximum height of the bottle rocket?

2. A ball rolls across a table with a constant velocity of 2.5 m/s rolls of the table that is 1.2 m high. What is the range of the ball?

3. A 3000kg car is being driven on a horizontal road. If the road curves with a radius of 200-m and the speed limit for the car is 12.5 m/s around the curve, what is the coefficient of friction between the tires and the road?

4. You build an Atwood machine. Mass 1 is 2.67 kg and it accelerates at 5.10 m/s/s upward. Calculate mass 2.

5. A soapbox derby race car starts at rest at the top of a track that has a vertical drop of 15 m. The car is to be stopped at the end of the track by colliding with and compressing a spring. In order to avoid injury to the driver, the spring must be compressed to 3.0 m before the car stops. What should be the force constant of this spring? Assume the mass of the car and driver is 113 kg.