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

Question

A particle moves so that its position vector is given by $\overrightarrow r = \cos \omega t\,\widehat x + \sin \,\omega t\,\widehat y,$ where $\omega $ is a constant.

Which of the following is true?

Velocity is perpendicular to $\overrightarrow r $ and acceleration is directed towards the origin.

Velocity is perpendicular to $\overrightarrow r $ and acceleration is directed away from the origin.

Velocity and acceleration both are perpendicular to $\overrightarrow r $

Velocity and acceleration both are parallel to $\overrightarrow r $

Solution

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