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Q.

A body is projected vertically up with certain velocity. At a point ‘P’ in its path, the ratio of its potential to kinetic energies is 9 : 16. The ratio of velocity of projection to velocity at ‘P’ is

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a

25 : 16

b

5 : 4

c

9 : 25

d

3 : 4

answer is B.

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Detailed Solution

PEhKEh=3664⇒mgh12mv2=3664

⇒v2=329gh

Also v2=u2-2gh∵gh=932v2

⇒v2=u2-916v2⇒u2v2=2516

⇒uv=54

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