A 0.59 kg rubber ball has a speed of 1.50 m/s at point A and kinetic energy of 7.0 J at point B.

(a) Determine the ball's kinetic energy at A

Correct: Your answer is correct.
J
(b) Determine the ball's speed at B

a. KE = M*V^2/2

M = 0.59 kg
V = 1.5 m/s
Solve for KE.

b. KE = M*V^2/2
KE = 7.0 J
M = 0.59 kg
Solve for V.