How to Calculate the Distance Traveled by a Bouncing Ball

[student1ds]

A golf ball is hit from the fairway at a speed of 40 m/s at an angle of 45 degrees. Upon hitting the ground, the ball bounces off the ground at the same angle but loses 75 % of its speed on each bounce. How far does the ball travel before stopping ?

I started off with some trajectory and later figured that since the ball keeps bouncing in a series, we'll have to use the formula of the sum of arithmetic equations: S=a(1-r^n) / (1-r)

However, I am stuck now. Can someone explain the steps?

 

[Redbelly98]

How far does the ball travel between being hit and the first bounce?

 

[Selwyn]

the first point that u have to understand is that it will make infinite collisions with the ground.
the range of the ball at different velocities can be found and it makes an infinite geometric series.
use (a)/(1-r) then
good luck :)