A ball is thrown from the ground to clear a wall 3 m high a…

Physics Motion in a Straight Line Mix MCQ (Single Correct)

A ball is thrown from the ground to clear a wall 3 m high at a distance of 6 m and falls 18 m away from the wall, the angle of projection of ball is

tan -1 3/2

tan -1 2/3

tan -1 1/2

tan -1 1/4

Text Solution

Verified by Experts

The correct answer is:

Using R = u 2 sin 2 θ θ /g we get

g/u 2 = sin 2 θ θ /R

Range, R = 6 + 18 = 24 m

g/u 2 = sin 2 θ θ /24

As y = x tan θ θ - (gx 2 /2u 2 cos 2 θ θ )

for x = 6m, y = 3 m

and g/u 2 = sin 2 θ θ /24 we get

3 = 6 tan θ θ -

Using sin 2 θ θ = 2 sin θ θ cos θ θ , we get

tan θ θ = 2/3 or θ θ = tan -1 (2/3)

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