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 The range R of projectile is same when its maximum heights are h1 and h2. What is the relation between R, h1, and h2?

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a
R=h1h2
b
R=2hhh2
c
R=2h1h2
d
R=4h1h2

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detailed solution

Correct option is D

Range is same for angles of projection θ and 90∘−θR=u2sin2⁡θg,h1=u2sin2⁡θ2g  and  h2=u2sin2⁡(90−θ)2g=u2cos2⁡θ2g  Hence, h1h2=u2sin⁡θcos⁡θ2g=14u2sin⁡2θg=R4


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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