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A balloonist release a ballast bag from ...

A balloonist release a ballast bag from a balloon rising at 40 ms at a time when the balloon is 100 m above the ground. If g = 10m/s2 then the bag reaches the ground in:

A

`16 s^(-1)`

B

18 s

C

10 s

D

20 s

Text Solution

Verified by Experts

The correct Answer is:
c

Here 100=`40t+(1)/(2)xx10xxt^(2)`
or `t^(2)-8t-20=0`
or `t=(8pmsqrt(64+80))/(2)=(8+12)/(2)=10s `
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