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Question

A stone is dropped from a balloon going up with a uniform velocity of 5 m/s. If the balloon was 60 m high when the stone was dropped, find the height of balloon when the stone hits the ground. Take g=10 m/s.

A
50 m
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B
60 m
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C
80 m
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D
100 m
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Solution

The correct option is C 80 m

Time taken by the stone to reach the ground:
s=ut+12at2
60=5(t)+12(10)t2
60=5t5t2
5t25t60=0
t2t12=0
t24t+3t12=0
(t4)(t+3)=0
t=4 s
Height of balloon from ground at this instant is
h=60+(4)(5)
h=80 m

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