To solve this problem we will apply the concepts related to the kinematic equations of motion. We will start calculating the maximum height with the given speed, and once the total height of fall is obtained, we will proceed to calculate with the same formula and the new height, the speed of fall.
The expression to find the change in velocity and the height is,
Replacing,
Thus the total height reached by the ball is
H = 22m+13.0612m
H = 35.0612m
Now calculate the velocity while dropping down from the maximum height as follows
Substituting the new height,