Answer:
31.66 m/s
Explanation:
mass of player, M = 75 kg
mass of ball, m = 0.45 kg
initial velocity of player, U = + 4 m/s
initial velocity of ball, u = - 24 m/s
Let the final speed of player is V and the ball is v.
use conservation of momentum
Momentum before collision = momentum after collision
75 x 4 - 0.45 x 24 = 75 x V + 0.45 x v
289.2 = 75 V + 0.45 v .... (1)
As the collision is perfectly elastic, coefficient of restitution,e = 1
So, 
V - v = u - U
V - v = -24 - 4 = - 28
V = v - 28, put this value in equation (1), we get
289.2 = 75 (v - 28) + 045 v
289.2 = 75 v - 2100 + 0.45 v
2389.2 = 75.45 v
v = 31.66 m/s
Thus, the velocity of ball after collision is 31.66 m/.