Range contd...

Continuing in the spirit of the last post, you have a ball again. But this time the the action takes place on the floor. Sadly, the collisions are not elastic (so you may assume e=1/2).

As shown in the figure, the ball bounces upto some distance and then stops after a very long time. Whats the maximum distance you can throw the ball upto?

This used to be a physics blog!

You're standing in the middle of a 5 meter wide street with very high walls, as shown. You have a ball in you hand, and its obviously smooth and elastic.
The fun thing to do would be to throw the ball as hard as possible on the wall and watch it bounce against the wall, as shown. Have you wondered the how many bounces you could possibly achieve? The figure shows 3 bounces.

Make any assumption(s) you want (possibly using your vast knowledge of cricket). Please don't post any hints, just write down the integer answer.
Hint: If you watch cricket very closely, you would know that you can't throw at > 140 kmph (if you could, you wouldn't be solving physics problems)!