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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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 Some Thoughts | Comment 11 of 14 |
` `
`Instead of y = x/2 for the inclined plane, how about`
`    y = m(x-6)+3`
`The ball would still hit the plane at (6,3). But,what are the three values for m so that the ballbounces once, twice, three times before retracing the path y = 5 - (x^2)/18?`
` `

 Posted by Bractals on 2006-02-13 21:16:49

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