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A projectile is thrown in the upward direction making an angle of 60° with the horizontal direction with a velocity of 147 m s-1. Then the time after which its inclination with the horizontal is 45°, is:

a
15 s
b
10.98 s
c
5.49 s
d
2.745 s

detailed solution

Correct option is C

ux = ux = 147 cos 60° and vy = uy = gt = 147 sin60° - (9.8) tIf its inclination with the horizontal is 45°, then vx = uySo, t=1473-12×9.8=5.49s

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Assertion : When the velocity of projection of a body is made n times, its time of flight becomes n times.

Reason : Range of projectile does not depend on the initial velocity of a body.


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