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Q. A particle is moving on a circular path with constant speed $v$. It moves between two points $A$ and $B$, which subtends an angle $60^{\circ}$ at the centre of circle. The magnitude of change in its velocity and change in magnitude of its velocity during motion from $A$ to $B$ are respectively

Motion in a Plane

Solution:

$\Delta v =2 v \sin \frac{\theta}{2}$
$2 v \times \sin \left(\frac{60}{2}\right)$
$| \Delta v| = v$
Change in magnitude of velocity $= 0$