1. A record player starts out rotating at a rate of 45 rotations per minute, but the power goes out and the record player gradually slows to a stop. It takes 55 s for the record player's rotation to cease completely.

a) Determine the record player's initial angular speed in radians per second.

b) Determine the record's angular acceleration.

c) Determine how many rotations the record made while slowing to a stop.

2. A car is initially driving at a constant linear speed. The car's tires are rolling without slipping. After a short period of time traveling at a constant speed, the driver hits the brakes to avoid running over a marmoset, causing the car to slow down with a constant acceleration until it comes to a stop. Sketch the graphs of both the angular speed and the angular displacement of the tires as a function of time.