Thursday

July 24, 2014

July 24, 2014

Posted by **Marisol** on Thursday, May 26, 2011 at 7:02pm.

When it strikes the ground for the second time, the ball has traveled a total of 28 ft in a downward direction. How far downward has the ball traveled when it strikes the ground for the 17th time?

- math -
**MathMate**, Thursday, May 26, 2011 at 7:26pmT(1)=16

T(2)=12

T(3)=9

...

T(n)=16(3/4)^(n-1)

It is a geometric progression (GP) with a ratio of 3/4.

The sum to n terms of a GP is:

S(n)=16(1-(3/4)^n)/(1-(3/4))

Substitute n=17 in the above formula to get S(17), the*total*downward distance.

**Related Questions**

math - a student drop a rubber ball from a height of 8 feet . Each time the ball...

physics - A ball is tossed so that it bounces off the ground, rises to height ...

physics - A ball is tossed so that it bounces off the ground, rises to a height ...

math - the height that a ball bounces varies directly as the height from which ...

physics - A ball dropped from a sixth floor window accelerates at 10 m/s After ...

College Algebra - Alfred has just developed a new super ball and you have been ...

science - Science Experiment Determine a mathematical modelwhich describes the ...

math - Fay's rubber ball bounces exactly half the height from which it is ...

Math - A ball bounces 0.7 of the distance it is dropped. How many bounces will ...

Physics - The Colliding Balls: A ball is released from rest at a height h above ...