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 0.242 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 angular acceleration of 0.015 rad/s?. What is the shortest time it takes for the child to catch up with the horse?

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Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.