Answer Happy

A person is sitting at point P on a roundabout at which is rotating about a fixed axis, o, as shown in the Figure. They are sitting a distance 1.9 m from the centre of the roundabout which is rotating with an angular velocity of 1.8 rad/s and decelerating at a rate of 0.04 rad/s? of
(a 3 P) xyz = Give your answer to 4 significant figures. (1 mark) ili. Find the relative acceleration of the ball as seen by the person, (a sp) yye i + jm/s? Give your answer to 4 significant figures. (1 mark) iv. Determine the vector representing the angular velocity of the roundabout, 2. krad/s. Give your answer to 4 significant figures. mark) v. Determine the vector representing the angular acceleration of the roundabout, Ω. krad/s? Give your answer to 4 significant figures. (1 mark) vi. Hence, or otherwise, calculate the velocity of the ball, vs. VR = i + jm/s. Give your answer to 4 significant figures. (2 marks) vii. Hence, or otherwise, calculate the acceleration of the ball, as i + jm/s? Give your answer to 4 significant figures. (2 marks) d. The person on the roundabout releases the ball immediately after the instant identified above and is facing their friend who is standing at point A, 4.2 m from the centre of the roundabout. Calculate the angle that the flight of the ball makes with the positive x-direction, the distance from the ball to the friend at this instant and hence, or otherwise, calculate the closest that the ball will get to the friend if they do not move. Angle the flight of the ball makes with the x-direction degrees. Distance from the ball to the friend when the ball is released = Closest the ball gets to the friend = Give your answers to 4 significant figures. (3 marks) ag m. m.
. P А Figure - Roundabout showing the location of points A and P.