a
projectile motion whose range Ris n times the
(c) What is the angle of projection of
maximum height
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PHYSICS
The horizontal range of a projectile is 4
3
times its maximum height. Its angle of projection will be
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ANSWER
Let Velocity is V and angle of projection with horizontal is θ.
∴Range=
g
2V
2
sinθcosθ
∴Maximum Height=
2g
V
2
sin
2
θ
According to given condition, Range =4
3
Height
⇒
g
2V
2
sinθcosθ
=4
3
2g
V
2
sin
2
θ
⇒tanθ=
3
1
⇒θ=30
o
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