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A particle is projected with a velocity v so that its range on a horizontal plane is twice the greatest height attained. If g is acceleration due to gravity, then its range is

a
4v25g
b
4 g5 V2
c
4v35g2
d
4v5 g2

detailed solution

Correct option is A

Since R = 1Hv2sin2θg=2×v2sin2θ2 g 2sinθcosθ=sin2θ or tan θ=2 R=v2sin2θg =v22sinθcosθg=2v2 g×25×15=4v25 g

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Similar Questions

Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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