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**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: ?(*t*) = *a* + *bt ^{2}* –

**Part (b) ** Besides at *t* = 0, at what time *t _{1}* is the ride stopped? Give your answer in seconds.

**Part (c) ** What is the magnitude of the angular displacement of the ride in radians between times *t* = 0 and *t* = *t _{1}*?

**Part (d) ** Determine an equation for the angular acceleration of the ride as a function of time, ?(*t*). Write your answer using the symbols *a*, *b*, and *c*, instead of their numerical values.

**Part (e) ** What is the angular acceleration in rad/s^{2} when the ride is at rest at *t* = *t _{1}*?

(1) The angular position, ?=a+bt2?ct3