SOLUTION: Hi a ball drops from a height of 100m. Each time it hits the ground it bounces 60% of the height it fell. How far will it travel by the 4th bounce. Thanks

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Question 1205153: Hi
a ball drops from a height of 100m. Each time it hits the ground it bounces 60% of the height it fell. How far will it travel by the 4th bounce.
Thanks
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

a ball drops from a height of 100m
Each time it hits the ground it bounces 60% of the height it fell. How far will it travel by the 4th bounce.
100m%2B+60m=160m.......bounces ones (60% of 100m is 60m )
60m%2B36m=96m.......bounces twice (60% of 60m is 0.6%2A60m=36m)
36m%2B21.6m=57.6m.......bounces three times (60% of 36m is 0.6%2A36m=21.6m)
21.6m%2B12.96m=34.56m.......bounces four times (60% of 21.6m is 0.6%2A21.6m=12.96m)
make table

# of+bounces|....Height fallen |.... Height+bounced |....+Distance+traveled |
|+1 |........................ 100m+............................+60m ................................. 160m+
| 2 |........................ .. 60m ........................ 36m........................ .... 96m+
|+3 | ........................ 36m ........................ 21.6m+........................ .. 57.6m
| 4+| ........................ 21.6m+........................ 12.96m ........................ 34.56m+

by the 4th bounce, the ball will have traveled a total distance of
160m+%2B+96m+%2B+57.6m+%2B+34.56m+=348.16m+