Questions
The range of a projectile when launched at an angle is same as when launched at an angle 2. What is
the value of ?
a
150
b
300
c
450
d
600
detailed solution
Correct option is B
Range of projectile launched at an angle θ is same as the range of projectile launched at angle 2θ.⇒ u2sin2(2θ)g=u2sin2θg⇒ sin2(2θ) = sin2θ⇒ 2 sin 2θ cos 2θ = 2 sinθ cos θ 4 sin θ cos θ cos 28 = 2 sin θ cos θ⇒ 4cos2θ=2⇒cos2θ=12⇒ cos 2θ = cos 600 ⇒ 2θ = 600 ∴ θ = 300Talk to our academic expert!
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