12) A ball is dropped from a height Of 80 ft.
The ball is such that it rebounds of the
height it has fallen. How high does the ball
rebound on 6th bounce? How high does the
ball rebound on nth bounce?
27
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Answered by
14
Answer:
Step-by-step explanation:
Given
12) A ball is dropped from a height Of 80 ft.The ball is such that it rebounds 3/4 of the height it has fallen. How high does the ball rebound on 6th bounce? How high does the
ball rebound on nth bounce?
27
So the ball rebounds 3/4 = 0.75 of the distance it has fallen.
For every bounce the height reached will be 0.75 the previous height.
n = 6 to find the height.
So h(5) = 80 x (0.75)^6
≅ 14.238 ft
Now to find the formula for nth term for how high the ball bounces we have
80 x 0.75 ^n
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15
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