Q.

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

40:1

b

1:5

c

5:1

d

1:40

answer is D.

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Detailed Solution

Standard equation of projectile motion,

y=xtanθ-gx22u2cos2θ

Comparing 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

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