44. A balloon rises with uniform velocity of 10 m/s. When the balloon is at a height of 75 m if a stone is dropped from it. The time taken by it to reach the ground is C) 5 8 D) 7 s B) 48 A) 38
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According to the question:
u=16m/s, v=0m/s, a=g=-10m/s^2
By formula v^2=u^2+2as
0=(16)^2+2(-10)s
0=256-20s
-256=-20s
s=-256/-20
=12.8
Let x be the initial height of the balloon
Using formula t to reach ground when falling freely=√2h/g
√2(x+12.8)/10=4
2x+25.6/10=16
2x+25.6=160
2x=160-25.6
2x=134.4
x=134.4/2
=67.2 metres
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