Question

A ball is lodged in a hole in the floor near the outside edge of a merry-go-round that is turning at constant speed. Which kinematic variable or variables change with time, assuming that the position is measured from an origin at the center of the merry-go-round?
a. The position of the ball only.
b. The velocity of the ball only.
c. The acceleration of the ball only.
d. Both the position and velocity of the ball.
e. The position and velocity and acceleration of the ball.

Answer 1

Answer:

Explanation:

It is given that the ball is lodged in a hole in the floor of merry-go-round that is running at a constant speed.

Now the ball is moving a vertical circular motion  

The position of the ball changes w.r.t to the center as it moves in a circular path i.e. vectorially it changes but its magnitude will remain the same.  

The velocity of the ball is the same as merry-go-round so its magnitude remains the same but its direction will change continuously.

As the ball is moving in a circular path so a centripetal acceleration will acts towards the center so its value will be continuously changing.