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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.)

  Submitted by Jer    
Rating: 4.5000 (2 votes)
Solution: (Hide)
y = 9.48 - 12.5 (x-6.72)^2 = -12.5x^2 + 168x - 555

See Charlie's solution, it makes more sense than mine did.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Soviet RussiaHugo2006-02-15 16:52:36
re(2): Some ThoughtsBractals2006-02-14 18:42:17
re: Some ThoughtsJer2006-02-14 12:32:50
Some ThoughtsSome ThoughtsBractals2006-02-13 21:16:49
and other thing...Jer2006-02-13 12:39:34
Hints/TipsIncidentallyJer2006-02-13 12:34:17
re(3): solution -- barring any mistakes along the wayCharlie2006-02-12 10:14:53
re(2): solution -- barring any mistakes along the wayHugo2006-02-11 18:26:07
re: solution -- barring any mistakes along the wayBractals2006-02-11 17:59:02
Solutionre: solution -- barring any mistakes along the wayMindrod2006-02-11 16:57:30
Solutionsolution -- barring any mistakes along the wayCharlie2006-02-11 15:48:10
Some Thoughtsre(2): potential path (spoiler)Charlie2006-02-11 00:48:46
Solutionre: potential path (spoiler)Mindrod2006-02-10 22:07:01
Some Thoughtspotential path (spoiler)Mindrod2006-02-10 21:48:22
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