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Q.

An object is projected with a velocity of 20 ms-1 making an angle of 450 with horizontal. The equation for the trajectory is h = Ax - Bx2 where 'h' is height, x is horizontal distance, A and B are constants. The ratio A: B is (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

For a projectile, if 'h' be its height at a distance x from the point of projection, then h = x tanα(1 - x/R) where α is the angle of projection and R is range. Comparing with h = Ax - Bx2,A = tanα =1 and

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An object is projected with a velocity of 20 ms-1 making an angle of 450 with horizontal. The equation for the trajectory is h = Ax - Bx2 where 'h' is height, x is horizontal distance, A and B are constants. The ratio A: B is (g = 10 ms-2)