**33. ssm A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.250 rad/s. 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 running) with a constant an- gular acceleration of 0.0100 rad/s². What is the shortest time it takes for the child to catch up with the horse?

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Chapter1: Units, Trigonometry. And Vectors
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**33. ssm A child, hunting for his favorite wooden horse, is running on
the ground around the edge of a stationary merry-go-round. The angular
speed of the child has a constant value of 0.250 rad/s. 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 running) with a constant an-
gular acceleration of 0.0100 rad/s². What is the shortest time it takes for
the child to catch up with the horse?
Transcribed Image Text:**33. ssm A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The angular speed of the child has a constant value of 0.250 rad/s. 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 running) with a constant an- gular acceleration of 0.0100 rad/s². What is the shortest time it takes for the child to catch up with the horse?
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