Physics · 2020
JEE Main · 8 January 2020, Shift 2 · Q2
A particle moves such that its position vector r ( t )= cos ω t i + sin ω t j where ω is a constant and t is time. Then which of the following…
A particle moves such that its position vector $\displaystyle \overrightarrow{\mathrm{r}}(\mathrm{t})=\cos \omega \mathrm{t} \hat{i}+\sin \omega \mathrm{t} \hat{j}$ where $\displaystyle \omega$ is a constant and t is time. Then which of the following statements is true for the velocity $\displaystyle \vec{v}(\mathrm{t})$ and acceleration $\displaystyle \overrightarrow{\mathrm{a}}(\mathrm{t})$ of the particle:
Official answer
(3)
$\displaystyle \vec{v}$ is perpendicular to $\displaystyle \overrightarrow{\mathrm{r}}$ and $\displaystyle \overrightarrow{\mathrm{a}}$ is directed towards the origin
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JEE Main 2020 Physics question, with the answer from NTA’s final answer key. Where our answers come from.