The wheel of fortune is 2.6 meters in diameter. a contestant gives the wheel an initial velocity of 2 m/s. after rotating 540 degrees, the wheel comes to a stop. calculate the angular acceleration of the wheel. show your work.

During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.