58. A projectile is thrown from the ground as
shown. The distance between two vertical
walls is 90 m. The range of projectile is
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The projectile is at a height h at t=2 and t=6 seconds .
h=usinθt−
2
1
gt
2
at t=2 ,
h=2usinθ−2g
at t=6,
h=6usinθ−18g
∴4usinθ=16g
usinθ=4g=40...(i)
As the separation between the 2 points is 120 m,
u cosθ×Δt=120
4ucosθ=120
ucosθ=30....(ii)
Dividing equation (i) by (iii)
tanθ=
3
4
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