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 = 2h1h2

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 = u2sin 2θgh1 = u2sin2θ2g and h2 = u2 cos2θ2gHence, h1h2 = u2 sin θ cos θ2g                         = 14[u2sin2θg] = R4
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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?