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Q.

A balloon rise up (initial velocity is zero) with constant net acceleration of 10m/s2. After 2 seconds a body drops from the balloon . After further 2 seconds match the Column-I with Column-II(g=10m/s2)

Column-IColumn-II        
A)Height of body from the groundp) Zero
b)Speed of the bodyQ)10SIunits
c)Displacement of the body in 2s after it drops from the balloonR)40SI units
d) Acceleration of the bodyS)20 SI units

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a

AR,BP,CS,DQ

b

AP,BR,CS,DQ

c

AQ,BR,CS,DP

d

AS,BP,CR,DQ

answer is A.

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Detailed Solution

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After 2sec, h=12at2
h=12×10×4=20
Velocity of balloon and stone after 2 sec is u=atu=10×2=20 m/s
Velocity of stone after further after v=u-gt=20-20=0 displacement after further 2sec
S=ut-12gt2=20m from ground its Position is 20+20=40 m

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