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? which is the correct answer
the position of the ball only
a. the velocity of the ball only
b. the acceleration of the ball only
c. both the position and velocity of the ball
d. the position and velocity and acceleration of the ball
velocity and acceleration are vectors, so do they change as well as position?
the position, velocity and acceleration will all change.
its D.
a 100% D
The correct answer is c. both the position and velocity of the ball.
When the ball is lodged in the hole of the merry-go-round, it is rotating along with the merry-go-round. As the merry-go-round continues to turn at a constant speed, the ball also experiences circular motion.
Since the position is measured from an origin at the center of the merry-go-round, the position of the ball will change with time. As the merry-go-round rotates, the ball will move in a circular path, and its position will continuously change as it moves around the central axis.
Additionally, because the ball is moving in a circular path, it will also have a velocity vector pointing tangentially to the circular path at any given point. Since the merry-go-round is turning at a constant speed, the ball's velocity will also change with time.
Therefore, both the position and velocity of the ball change as the merry-go-round rotates. The acceleration of the ball, however, remains constant as it undergoes uniform circular motion. Thus, the correct answer is c. both the position and velocity of the ball.