- #1
Jbreezy
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Homework Statement
A ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.81h feet. Find the total distance traveled by the ball.
Homework Equations
The Attempt at a Solution
I don't understand the meaning of this.
$$-16 + \sum_{n=0}^{\infty}(.81)^n= 16+ 32(0.81)\sum_{n=0}^{\infty} 32(.81)^n $$ :editThe one on the left I understand you are just subtracting 16 because the when you start you assume the ball is on the ground. The meaning of the equation on the right is bothering me because I don't understand why you would take n+1 terms and then add 16. I don't understand pictorially what is going on with this one. Why add 16 then take n+1 terms? I don't get it at all. It is bothering me! I don't get it!
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