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Physics-

General

Easy

Question

A balloon is rising vertically up with a velocity of $29 blank m s to the power of negative 1 end exponent.$ A stone is dropped from it and it reaches the ground in 10 s. The height of the balloon when the stone was dropped from it is $open parentheses g equals 9.8 blank m s to the power of negative 2 end exponent close parentheses$

400 m
150 m
100 m
200 m

The correct answer is: 200 m

For a stone which is thrown downwards from a balloon rising upwards, the equation of motion is
$h equals negative u t plus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent$
$equals negative 29 cross times 10 plus fraction numerator 1 over denominator 2 end fraction cross times 9.8 cross times open parentheses 10 close parentheses to the power of 2 end exponent$
$equals negative 290 plus 490 equals 200 blank m$

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