A balloon starts from rest, moves vertically upwards with an acceleration g/8ms^ −2 . A stone falls from the balloon after 8 s from the start. The time taken by the stone to reach the ground is (g=9.8 ms ^−2) ____.
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Explanation:
For balloon, distance traveled by it in 8 sec,
s=ut+21gt2 where u=0
s=21×8gt2=4g
So, time taken by stone,
s=ut+21gt2
4g=21gt2 at this height the velocity of stone will be zero
t2=8⇒t=22 s.
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