From Wikipedia’s entry on Super Balls.

Wham-O Executive Vice-president Richard P. Kerr said, “Each Super Ball bounce is 92% as high as the last.

Will it ever stop bouncing?

Geometric sequences and series anybody?

edit:

Amazon review of a superball:

What’s the bounce return rate?

Question that’s bugged me since forever: How do you mathematically model the time it takes the ball to stop bouncing?

The exponential decay model approaches zero but never actually reaches it.

Teach me something here.

A physicist might say that it never stops bouncing, since it is never truly touching the floor. Would a (pre-calculus) mathematician say that it never stops bouncing like Achilles never beats the tortoise? Anywho, back in the “real” world, I have $28 of superballs being shipped from Amazon. I’ll give it my best shot.

I used bouncy balls and motion detectors in precalc to talk about the geometric sequence formed. The hardest part for the kids was getting a good bounce going, but it was a lot of fun for me!

Yea this was fun. I’ll certainly have to expand the activity next year.

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