a bullet fired from a gun witha speed of 100m/s¹ in a direction of 30° above the horizontal calculate maximum height reached & time of flight & horizontal range of the bullet
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Horizontal range of bullet is 30 m.
Using range formula, R=
g
u
2
sin2θ
=30
or sin2θ=
(100)
2
30×10
orsin2θ=0.03
For small θ,sinθ=θ=tanθ,i.e.,2θ=0.03
Therefore, θ=0.015 rad
In ΔOAP,tanθ=
OP
AP
⇒AP=OPtanθ
The rifle must be aimed at an angle θ=0.015 above horizontal.
Height to be aimed = 30tanθ=30(θ)=30×0.015=45cm
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