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Q.

A balloon is rising vertically upwards at a velocity of 10 ms-1. When it is at a height of 45 m from the ground, a parachutist bails out from it. After 3s he opens his parachute and decelerates at a constant rate of 10 ms-2. How far is the parachutist from the balloon at t = 3s. Calculate the distance in meters.

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Detailed Solution

In time 3s, the balloon has risen through 30m (as the velocity of the balloon is 10 ms-1 upwards). 

h=-10×3+12×10×32=15 m

Hence the parachutist is now  30 + 15 = 45 m away from the balloon.

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