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A ball is dropped from 1458 feet and at each bounce it rebounds 1/3 of the height from which it last fell. How far has the ball traveled by the time it strikes the ground for the sixth time?

Nathan218

by Nathan218 at April 25, 2011

I'm using an equation for the sum of a geometric sequence, but my answer is coming out wrong.  I know the answer should be 2910 feet, but I can't get that answer using the equation.

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set up the function as D=Doe^-xt   when t=0 your D=Do=1458 then plug in  and D is 486 ( 1/3 of original height) when you have t=1 which is number of bounces solve for x, then plug in t=2,3,4,5,6 and find the height  

chitra003 chitra003 April 25, 2011

(up) 2 (down)
set up the function as D=Doe^-xt when t=0 your D=Do=1458 then plug in and D is 486 ( 1/3 of original height) when you have t=1 which is number of bounces solve for x, then plug in t=2,3,4,5,6 and find the height

...sydnie... ...sydnie... April 25, 2011

(up) 0 (down)
set up the function as D=Doe^-xt when t=0 your D=Do=1458 then plug in and D is 486 ( 1/3 of original height) when you have t=1 which is number of bounces solve for x, then plug in t=2,3,4,5,6 and find the height...

...sydnie... ...sydnie... April 27, 2011

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