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Q.

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:

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a

15 s

b

10.98 s

c

5.49 s

d

2.745 s

answer is C.

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Detailed Solution

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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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: