What is the average power output of the automobile engine

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Q. A child, hunting for her favourite horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the girl has a constant value of .250 rad/sec. At the instant the child spots the horse, one-quarter of a turn away, the merry-go-round begins to move (in the direction the child is moving.) with the constant angular acceleration of 0.010 rad/s^(2). What is the shortest time it takes for the child to catch up with the horse?

Q. A 1x 10^3 kg sports car accelerates from rest to 25.00 m/s in 7.50 s. What is the average power output of the automobile engine?

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