perplexus.info :: Calculus : Bouncy Bouncy part 2

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
Puzzle Answer	K Sengupta	2023-09-09 10:46:49
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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