Q.
A stone is thrown with a velocity $v$ making an angle $\theta$ with the horizontal. At some instant, its velocity $V$ is perpendicular to the initial velocity $v$. Then $V$ is
A) $v\sin\theta$
B) $v\cos\theta$
C) $v\tan\theta$
D) $v\cot\theta$
Explanation
(d) Equating horizontal components, we get
$V\cos(90{^\circ} - \theta) = v\cos\theta$
or $V\sin\theta = v\cos\theta\ \ \ or\ \ \ V = v\cot\theta$
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Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.