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An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 2.1 rad, b = 0.75 rad/s2 and c = 0.035 rad/s3.
a. Determine an equation for the angular speed of the ride as a function of time, omega(t). Write your answet using the symbols a, b, and c, instead of their numerical values.
b. Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds.
c. What is the magnitude of the
d. Determine an equation for the
e. What is the angular acceleration in rad/s^2 when the ride is at rest t = t1?
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