Question

When a ball bounces, it rises to C)" times of
the previous height, n being the number of
times it has bounced.
If the ball is dropped from a height of 2048
cm, what will be its height after 4th bounce?
2 m
8 m
b.
2 cm
c
.
d. 8 cm​

Answer 1

Given : When a ball bounces, it rises to (1/2)ⁿ times of  the previous height, n being the number of  times it has bounced.

ball is dropped from a height of 2048  cm,

To find : what will be its height after 4th bounce

Solution:

Ball dropped from 2048  cm

Ball bounced after 1st bounce = 2048/2¹ = 1024 cm

Ball bounced after 2nd bounce = 1024/2² = 256 cm

Ball bounced after 3rd bounce = 256/2³ = 32 cm

Ball bounced after 4th bounce = 32/2⁴ =2 cm  

height after 4th bounce  = 2 cm  

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