The range R of projectile is same when its maximum heights are h1 and h2. What is the relation between R and h1 & 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
we know that range is same for angle of projection θ and 90∘−θ. The range and maximum heights are given byR=u2sin2θgh1=(usinθ)22g and h2={usin(90−θ)}22g=(ucosθ)22g¯∴ h1h2=u2sin2θ2g×u2cos2θ2g or h1h2=u22g×sinθcosθ=14u2sin2θg or h1h2=R4 or R=4h1h2