A particle moves such that its position vector r(t)=cosωt i... | Circular Motion

JEE MAIN 2020

08-01-20 S2

Question

A particle moves such that its position vector $\vec{r}(t)=\cos \omega t \hat{i}+\sin \omega t \hat{j}$ where $\omega$ is a constant and $t$ is time. Then which of the following statements is true for the velocity $\vec{v}(t)$ and acceleration $\vec{a}(t)$ of the particle

Select the correct option:

$\overrightarrow{\mathrm{v}}$ and $\overrightarrow{\mathrm{a}}$ both are perpendicular to $\overrightarrow{\mathrm{r}}$

$\vec{v}$ is perpendicular to $\vec{r}$ and $\vec{a}$ is directed towards the origin

$\overrightarrow{\mathrm{v}}$ and $\overrightarrow{\mathrm{a}}$ both are parallel to $\overrightarrow{\mathrm{r}}$

$\vec{v}$ is perpendicular to $\vec{r}$ and $\vec{a}$ is directed away from the origin

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Physics

Medium

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