A projectile is fired from level ground at an angle θ above the horizontal. The elevation angle ϕ of the highest point as seen from the launch point is related to θ by the relation
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a
tanϕ=14tanθ
b
tanϕ=tanθ
c
tanϕ=12tanθ
d
tanϕ=2tanθ
answer is C.
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Detailed Solution
See fig. From figuretanϕ=h/(R/2)tanϕ=u2sin2θ/2gu2sin2θ/2g=sin2θsin2θ=sin2θ2sinθcosθ=sinθ2cosθ=12tanθ
A projectile is fired from level ground at an angle θ above the horizontal. The elevation angle ϕ of the highest point as seen from the launch point is related to θ by the relation