SOLUTION: a ball is dropped from a height of 30 feet.each time it strikes the ground, it bounces up to 4/5 of the previous height. how many times does the ball hit the ground before it bounc
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Question 1043565: a ball is dropped from a height of 30 feet.each time it strikes the ground, it bounces up to 4/5 of the previous height. how many times does the ball hit the ground before it bounces up less than 6 feet? Found 2 solutions by ikleyn, MathTherapy:Answer by ikleyn(52790) (Show Source):
You can put this solution on YOUR website! .
a ball is dropped from a height of 30 feet.each time it strikes the ground, it bounces up to 4/5 of the previous height.
How many times does the ball hit the ground before it bounces up less than 6 feet?
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# of hit/bounce height of bouncing
0 30.00
1 24.00
2 19.20
3 15.36
4 12.29
5 9.83
6 7.86
7 6.29
8 5.03
9 4.03
Geom. progression. = 30, common ratio r = .
= , n = 1, 2, 3, . . . height after n-th bounce.
Your n is 7.
You can put this solution on YOUR website! a ball is dropped from a height of 30 feet.each time it strikes the ground, it bounces up to 4/5 of the previous height. how many times does the ball hit the ground before it bounces up less than 6 feet?
This situation depicts a sequence with being 30, r being , and being 5 (< 6).
We then have: _____
n, or number of bounces = 8.029626932, or
