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At a height 0.4 m from the ground the velocity of particle projected in angle $\theta$ is $\hat v=(6 i+ 2 j)m/s$ The angle of projection $\theta$ is $(g=10 m/s^2)$

\[(a)\;45 ^{\circ}\quad (b)\;30 ^{\circ} \quad (c)\;60^{\circ} \quad (d)\tan ^{-1} \frac{3}{4}\]

1 Answer

Let $u_x \;and\; u_y$ be initial component of velocity at the time of projection.
$\tan \theta=\Large\frac{u_y}{u_x}$
$u_y=\sqrt {12}=2 \sqrt 3$
Therefore $\tan {\theta}=\large\frac{2 \sqrt 3}{6}$
$=>\large\frac{1}{\sqrt 3}$
$\theta=30 ^{\circ}$
Hence b is the correct answer


answered Jun 26, 2013 by meena.p
edited Jul 25, 2014 by thagee.vedartham

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