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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: Some Thoughts | Comment 12 of 14 |
(In reply to Some Thoughts by Bractals)

Once:  make the plane perpendicular to the incoming path which has slope -2/3 so m=3/2

Twice:  make the ball bounce straight up m=slightly more than 1/2

Thrice: like once, but the ball hits perpendicular on its second bounce - very hard - m=a bit less than 1/2


  Posted by Jer on 2006-02-14 12:32:50
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