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Q.

A balloon rising vertically upwards with a constant velocity of 15ms−1. When it is at a height of 50 m above the ground, a stone is dropped from it. Find the time taken by the stone to hit ground 

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a

10 sec

b

12 sec

c

7 sec

d

5 sec

answer is A.

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Detailed Solution

When a stone is dropped it possesses a velocity of  15ms−1 
Upwards  h=−ut+12gt2⇒50=−15+5t2

t2−3t−10=0⇒(t−5)(t+2)=0⇒t=5sec

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