7) A person walks along a radial line from the center of a merry-go-round at a constant rate of 2 m/s towards the edge. The merry-go-round rotates at a rate of 3 revolutions/min in the counterclockwise direction (as viewed from above) and its rate of rotation increases at a rate of 5 revolutions/min? (also in the counterclockwise direction). Determine the velocity and acceleration of the person with respect to the ground when the person is 4 m from the center of the merry-go-round. Express your answers with respect to a xyz coordinate system that is fixed to and rotates with the merry-go-round. Assume the person walks along the x-axis. Solve this problem two ways: a) (10 points) Using equations 16-26 and 16-29 from the textbook b) (10 points) Using the Transport Theorem. Note: Be careful about your units and don't forget to convert revolutions to radians! 7) A person walks along a radial line from the center of a merry-go-round at a constant rate of 2 m/s towards the edge. The merry-go-round rotates at a rate of 3 revolutions/min in the counterclockwise direction (as viewed from above) and its rate of rotation increases at a rate of 5 revolutions/min? (also in the counterclockwise direction). Determine the velocity and acceleration of the person with respect to the ground when the person is 4 m from the center of the merry-go-round. Express your answers with respect to a xyz coordinate system that is fixed to and rotates with the merry-go-round. Assume the person walks along the x-axis. Solve this problem two ways: a) (10 points) Using equations 16-26 and 16-29 from the textbook b) (10 points) Using the Transport Theorem. Note: Be careful about your units and don't forget to convert revolutions to radians