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Question

A balloon is rising vertically upwards at a velocity of 10m/s . When it is at a height of 45m from the ground,a parachutist bails out from it. After 3seconds he openshis parachute and decelerates at a constant rate of 5m/s2. What was the height of the parachutist above the ground when he opened his parachute?(take g=10m/s2)

A
15 m
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B
30 m
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C
45 m
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D
60 m
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Solution

The correct option is C 30 m
Given,

u=10m/s in upward direction.

g=10m/s2 in downward direction

t=3sec

H=45m

So by second equation of motion:

s=ut+12at2

=10×3+12(10)×3×3

=3045

=15m

Here negative sign indicates that it is directed downwards.

So height from the ground when he opened parachute is =4515=30m

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