Golf Ball Question: How Far Does It Travel?

[qswdefrg]

Homework Statement

A golf ball is hit from the freeway at a speed of 40 m/s and 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?

Homework Equations

Kinematics equations

The Attempt at a Solution

First, I tried breaking the problem into components. Then I realized both x- and y- components of velocity are the same. I'm stuck because I can't exactly sub values into the kinematics equations to find displacement, seeing that I'm not given acceleration nor time.

Any sort of help/hint would be greatly appreciated.

 

[qswdefrg]

If a = -9.8 m/s^2, then I'd be able to calculate dy... so would I have to repeat this calculation until v2 = 0 and add up all the displacements? Or is there an simpler method?