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A particle moves along a circular path of radius 300 mm. If its angular velocity is theta dot=3(t^2) rad/s, where t is in seconds, determine the magnitude of the particle's velocity when theta=45 degrees. The particle starts from rest when theta=0 degrees. Determine the magnitude of the particle's acceleration.

A particle moves along a circular path of radius 300 mm. If its angular velocity is theta dot=3(t^2) rad/s, where t is in seconds, determine the magnitude of the particle's velocity when theta=45 degrees. The particle starts from rest when theta=0 degrees. Determine the magnitude of the particle's acceleration.