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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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 Subject Author Date Soviet Russia Hugo 2006-02-15 16:52:36 re(2): Some Thoughts Bractals 2006-02-14 18:42:17 re: Some Thoughts Jer 2006-02-14 12:32:50 Some Thoughts Bractals 2006-02-13 21:16:49 and other thing... Jer 2006-02-13 12:39:34 Incidentally Jer 2006-02-13 12:34:17 re(3): solution -- barring any mistakes along the way Charlie 2006-02-12 10:14:53 re(2): solution -- barring any mistakes along the way Hugo 2006-02-11 18:26:07 re: solution -- barring any mistakes along the way Bractals 2006-02-11 17:59:02 re: solution -- barring any mistakes along the way Mindrod 2006-02-11 16:57:30 solution -- barring any mistakes along the way Charlie 2006-02-11 15:48:10 re(2): potential path (spoiler) Charlie 2006-02-11 00:48:46 re: potential path (spoiler) Mindrod 2006-02-10 22:07:01 potential path (spoiler) Mindrod 2006-02-10 21:48:22

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