An object is projected with a velocity of 20 ms-1 making an angle of 450 with horizontal. The equation for trajectory is h = Ax - Bx2 , where h is height, x is horizontal distance, A and B are constants. The ratio A : B is (Take, g = 10 ms-2)
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a
1:5
b
5:1
c
1:40
d
40:1
answer is D.
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Detailed Solution
Standard equation of projectile motion,y=xtanθ-gx22u2cos2θComparing with given equation,A=tanθ and B=g2u2cos2θ So, AB=tanθ×2u2cos2θg=40:1 As θ=45°,u=20 ms-1,g=10 ms-2