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Q.

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

          Column-I

Column-II

A)Height of body from the groundp)

Zero

B)Speed of the body         q)

10 SI units

C)

Displacement of the body in 2s after

it drops from the balloon

r)

40 SI units

D)Acceleration of the bodys)

20 SI units

        

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a

A-r; B-p; C-s; D-q   

b

A-q; B-p; C-s; D-q

c

A-r; B-r; C-s; D-q     

d

A-r; B-s; C-s; D-q

answer is A.

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Detailed Solution

At  t=2 sec velocity of the balloon.
   V0=0+10×2=20  m/s
Due to inertia the velocity of body will also be equal to 20 m/s. Now body will move under gravity.
Velocity  V1=V0gt=2010×2=0
Displacement  h=V0t12gt2
Acceleration  a=10m/s2
 

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