The angular velocity of a process control motor is $(1212$t$2)(1212$t$2)$ rad$/$srad$/$s$,$ where tt is in seconds.

Part A

At what time does the motor reverse direction?

Express your answer with the appropriate units.

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tt $=$

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Part B

Through what angle does the motor turn between tt $=0$ ss and the instant at which it reverses direction?

Express your answer in radians.