1. An object initially at rest begins rotating, accelerating at a rate of 5 rad/sec?. What is its angular velocity after 2 seconds? 2. An object initially rotating with angular velocity @ = 3 rad/sec begins slowing down at a constant rate and comes to rest after 5 seconds. What was its angular acceleration during that time? 3. An object is started spinning with initial velocity @ = 3 rad/sec. It is subject to a resistive torque applying a constant angular acceleration a = -1 rad/sec slowing it down. How long from when it first started spinning until it comes to a stop? 4. A plane propeller originally spinning at a rate of w = 8 rad/sec begins to speed up with constant acceleration a = 2 rad/sec and continues accelerating for 5 seconds. What is its angular velocity at the end of the time during which it was speeding up? How many degrees in total has it turned during this time? How many revolutions has it made