A particle moves so that its position vector is given by r = cosωt ˆ x + sinωt ˆ y , where ω is a constant. Which of the following is true?

 

  Question:  From NCERT  | NEET PYQ   || [Difficult level:Medium]  |Motion In A Plane| 

A particle moves so that its position vector is given by $\overrightarrow{r}=\mathrm{cos\omega t}\hat{x}+\mathrm{sin\omega t}\hat{y}$, where $\omega$ is a constant. Which of the following is true?

1. Velocity and acceleration both are parallel to $\overrightarrow{r}$.
2. Velocity is perpendicular to $\overrightarrow{r}$ and acceleration is directed towards to origin.
3. Velocity is parallel to $\overrightarrow{r}$ and acceleration is directed away from the origin.
4. Velocity and acceleration both are perpendicular to $\overrightarrow{r}$

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:2. Velocity is perpendicular to 

$\overrightarrow{r}$

 and acceleration is directed towards to origin. ..

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NCERT REFERENCE

CLASS 11 | Physics |CHAPTER 4 | Motion In A Plane

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