SOLUTION: A ball rebounds one-half the height from which it is dropped. The ball is dropped from a height of 128 ft. and keeps on bouncing. What is the total vertical distance the ball will

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A ball rebounds one-half the height from which it is dropped. The ball is dropped from a height of 128 ft. and keeps on bouncing. What is the total vertical distance the ball will       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1196607: A ball rebounds one-half the height from which it is dropped. The ball is dropped from a height of 128 ft. and keeps on bouncing. What is the total vertical distance the ball will travel from the moment it is dropped to the moment it hits the floor for the fifth time?
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
A ball rebounds one-half the height from which it is dropped.
The ball is dropped from a height of 128 ft. and keeps on bouncing.
What is the total vertical distance the ball will travel
from the moment it is dropped to the moment it hits the floor for the fifth time?
~~~~~~~~~~~~~~


    counter     0         1         2          3         4        5 
    of hits

               down     up down   up down    up down    up down
    traveled   128  +  (64+64)  + (32+32)  + (16+16)  + (8+8)        = 368 ft    ANSWER
    distance   

Solved, with full explanation.