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Question

A body is projected with a velocity of 40ms-1.After 2s,it crosses a vertical pole of length 20 calculate the angel of projection and horizontal range, g=10 ms-2

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Solution

u=40m/s,u = 40 m/su=40m/s g=10m/s2g = 10 m/s^2g=10m/s2

At t1=2sect_1 = 2 sect1=2sec y=20.4m y = 20.4 my=20.4m
y=usinθ t −gt²/2y = u sin \theta t - g t² /2 y=usinθ t gt²/2
20.4=40sinθ×2−g2²/220.4 = 40 sin \theta \times 2 - g 2² /220.4=40sinθ×2g2²/2
=> sinθ=1/2sin\theta = 1/2sinθ=1/2
(1)=> θ=30° \theta = 30°angle of projection, θ=30°

(2)Horizontal range = R = u² Sin2Ф / g = 40² sin60° / 10 138m


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