A baseball is attached to the end of of $0\mathrm{.}75m$ long string. The ball is swung in uniform circular motion vertically and makes one complete revolution in $0\mathrm{.}35s.$ The ball moves clockwise with respect to the circle below

a$.$ Select three random points on the circular path above and illustrate with an arrow the direction the ball would take if the string suddenly broke.

b$.$ On the same three points, use a vector to illustrate the direction of the centripetal acceleration, $a_r.$

c$.$ What is the definition of period? Identify the value of the period of motion for the ball?

d$.$ Calculate the velocity of the ball as it moves in the circular path.

e$.$ Calculate the centripetal acceleration of the ball.

f$.$ Does the centripetal acceleration represent a change in speed for the object? Explain.

g$.$ Research to determine the mass of a baseball. $.145kg$

h$.$ Draw a free body diagram for the ball at the top of the circle. What force$($s$)$ drawn on the FBD are responsible for the ball's circular motion.

i$.$ Calculate the tension in the cord at the top of the circle.

j$.$ Draw a free body diagram for the ball at the bottom of the circle. What force$($s$)$ drawn on the FBD are responsible for the ball's circular motion.

k$.$ Calculate the tension in the cord at the bottom of the circle.