JEE Mains · Physics · STD 11 - 3.2 motion in plane
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 \(1.5 \sqrt{3}\,m / s\)
Answer & Solution
Correct Answer
(D) \(1.5 \sqrt{3}\,m / s\)
Step-by-step Solution
Detailed explanation
\(|\langle\vec{v}\rangle|=\frac{\left|\vec{r}_f-\vec{r}_i\right|}{\Delta t}\) \(=\frac{2 R \cos \left[\frac{\pi-\theta}{2}\right]}{\frac{2 \pi R}{3 v}}=3 \cos 30^{\circ}\) \(1.5 \sqrt{3}\,m / s\)
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