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Bouncy Bouncy part 2 (Posted on 2006-02-10) Difficulty: 4 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Some Thoughts | Comment 13 of 14 |
(In reply to re: Some Thoughts by Jer)

 
For once I agree with m=3/2. 
For twice I got m=(sqrt(13)-2)/3 ~= 0.53518.
For thrice I gave up.
 

  Posted by Bractals on 2006-02-14 18:42:17
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