Maharashtra State BoardHSC Science (General) 11th
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A ball is dropped from a height of 80 ft. The ball is such that it rebounds (34)th of the height it has fallen. How high does the ball rebound on 6th bounce? How high does the ball rebound on nth - Mathematics and Statistics

Sum

A ball is dropped from a height of 80 ft. The ball is such that it rebounds `(3/4)^"th"` of the height it has fallen. How high does the ball rebound on 6th bounce? How high does the ball rebound on nth bounce?

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Solution

Here, a = 80, r = `3/4`

1st height in the bounce = `80 xx 3/4`

Height in the 6th bounce = `80 xx 3/4 xx (3/4)^5`

= `80 xx (3/4)^6`

= Height in the nth bounce = `80(3/4)^"n"`

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