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 Bouncy Bouncy part 2 (Posted on 2006-02-10)
Part 2: Super-ball

A small ball is thrown toward an incline. This (amazing) ball bounces perfectly.
It is thrown to the right horizontally from the point (0,5) and follows the path of the parabolic equation y=5 - (x^2)/18.
The incline follows the equation y=x/2.

Find the equation of the path the ball takes after its first bounce off of the incline.

(If you wish, find some of the subsequent bounces.)
(Assume that gravity pulls straight down on the ball. Also assume the ball is not spinning so that it is perfectly reflected.)

 See The Solution Submitted by Jer Rating: 4.5000 (2 votes)

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 and other thing... | Comment 10 of 14 |

I dreamt up this problem in response to Percy's Box Bounce http://perplexus.info/show.php?pid=4181

Now that we know how to bounce a ball of a slanted wall, we may have a chance of proving the extra bounces are possible for a tilted box.  (If it is possible)  That problem is still bugging me.

Edited on February 13, 2006, 12:40 pm
 Posted by Jer on 2006-02-13 12:39:34

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