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 At a height 0.4 m from the ground, the velocity of a projectile in vector form is v=(6i^+2j^)ms1 The angle of projection is

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a
45o
b
60o
c
30o
d
tan-1 (3/4)

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detailed solution

Correct option is C

v2=u2-2gh or u2=v2+2gh ux2+uy2=vx2+vy2+2gh,ux=vx uy2=vy2+2gh or   uy2=(2)2+2×10×0.4=12 uy=12=23 ms-1,ux=vx=6 ms-1 tanθ=uyux=236=13  ⇒  θ=30°


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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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