(17%) Problem 1: An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: 8(t) = a + br-cr where a = 0.3 rad, b=0.65 rad/s and c = 0.035 rad/s. Randomized Variables a=0.3 rad b=0.65 rad/s e-0.035 rad/s Whentic.com tackling i 6005-07-08-17-AP00-338:20. In accordance with Export TAS Tamms of Service cupying this information to any solution sharing white is strictly Birbidden. 20% Part (a) Determine an equation for the angular speed of the ride as a function of time, oo(). Write your answer using the symbols a, b, and c. instead of their numerical values. 20% Part (b) Besides at t=0, at what time t, is the ride stopped? Give your answer in seconds. 20% Part (c) What is the magnitude of the angular displacement of the ride in radians between times t=0 and 1=1/? A 20% Part (d) Determine an equation for the angular acceleration of the ride as a function of time, a(f). Write your answer using the symbols a, b, and c, instead of their numerical values. 20% Part (e) What is the angular acceleration in rad/s when the ride is at rest at 1=1/?