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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 150 ms-1. Then the time after which its inclination with the horizontal is 45° is

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a

15(3−1)s

b

15(3+1)s

c

7.5(3−1)s

d

7.5(3+1)s

answer is C.

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Detailed Solution

At the two points of the trajectory during projectile motion, the horizontal component of the velocity is same. Then150×12=v×12   or   v=1502 ms-1  Initially: uy=usin60°=15032 ms-1  Finally: vy=vsin45°=1502×12=1502 ms-1  But vy=uyy+ayt   or   1502=15032-10t∣ 10t=1502(3-1)   or   t=7.5(3-1)
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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 150 ms-1. Then the time after which its inclination with the horizontal is 45° is