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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