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3-2.Motion in Plane
hard
As shown in the figure, a particle is moving with constant speed $\pi\,m / s$. Considering its motion from $A$ to $B$, the magnitude of the average velocity is:
A$\pi\, m / s$
B$\sqrt{3}\,m / s$
C$2 \sqrt{3}\,m / s$
D$1.5 \sqrt{3}\,m / s$
(JEE MAIN-2023)
Solution
$|\langle\vec{v}\rangle|=\frac{\left|\vec{r}_f-\vec{r}_i\right|}{\Delta t}$
$=\frac{2 R \cos \left[\frac{\pi-\theta}{2}\right]}{\frac{2 \pi R}{3 v}}=3 \cos 30^{\circ}$
$1.5 \sqrt{3}\,m / s$
$=\frac{2 R \cos \left[\frac{\pi-\theta}{2}\right]}{\frac{2 \pi R}{3 v}}=3 \cos 30^{\circ}$
$1.5 \sqrt{3}\,m / s$
Standard 11
Physics
