The ratio of maximum range to maximum height of a project...
The ratio of maximum range to maximum height of a projectile is 4. Determine the angle of projection.
300
600
450
00
Correct answer is C
Maximum Range R = u2sin2θg
maximum height H = u2sin2θ2g
But R : H = 4
u2sin2θg : u2sin2θ2g = 4
u2sin2θg×2gu2sin2θ = 4
2sin2θsin2θ = 4
since 2sinΘ = 2sinΘcosΘ
2×2sinθcosθsin2θ = 4
4sinθcosθsin2θ = 4
sinθcosθsin2θ = 1
cosθsinθ = 1
sinθcosθ = 1
tanθ = 1
θ=tan−11 = 45°
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