Q.

A projectile is thrown in the upward direction making an angle of 60o with the horizontal direction with a velocity of 150 ms-1. Then the time after which its inclination withthe horizontal is 45o 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=1502ms−1 Initially: uy=usin⁡60∘=15032ms−1 Finally: vy=vsin⁡45∘=1502×12=1502ms−1 But vy=uy+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 60o with the horizontal direction with a velocity of 150 ms-1. Then the time after which its inclination withthe horizontal is 45o is