Q.

A body of mass m is thrown vertically upwards with a velocity v. The height at which the kinetic energy of the body is half of its initial value is given by 

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a

h=v2g

b

h=v22g

c

h=v23g

d

h=v24g

answer is D.

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Detailed Solution

Initial KE=12mv2

Now, gain in PE = loss in KE. Thus

mgh=14mv2

or h=v24g

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