Q.

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

answer is D.

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Detailed Solution

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
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