So here's my best attempt to state the question:
A ball is thrown from a 100 meter tall tower, which has a vertical wall in front of it. The initial velocity of the ball is 10m/s and the distance between the tower and the wall is 10m. Find the distance from the foot of the tower that the ball falls. (The ball obviously comes down bouncing, alternating between tower and wall. g = 10m/s^2)
What I did:
sqr() means square root
Range of the ball I found to be 20sqr(5) Thus the ball does 4 bounces, and falls at a distance 20sqr(5) - 40 meters from the base of the tower. Any problem in this?
Also, this is a very.... ummm..... temporary sort of way to find it (if it is correct). Any other, more beautiful and elaborate way to find it?