A particle moves so that its position vector is given by r^{\to}\cos \omegatx^{∧}+\sin\omegaty^{∧} Where \omega is a constant. Which of the following is true? [NEET 2016 P1]

Correct Answer is : Velocity is perpendicular to →r and acceleration is directed towards the origin.

Velocity is perpendicular to r^{\to} and acceleration is directed away from the origin.

Velocity and acceleration both are perpendicular to r^{\to}.

Velocity is acceleration both are parallel to r^{\to}.

Velocity is perpendicular to r^{\to} and acceleration is directed towards the origin.

NEET 2016 Physics and Chemistry Paper 1

Question : 8 of 90

Marks: +1, -0

A particle moves so that its position vector is given by

→

‌cos‌ω‌t‌

∧

+sin‌ω‌t‌

∧

Where ω is a constant. Which of the following is true?

[NEET 2016 P1]

Velocity is perpendicular to
→
r
and acceleration is directed away from the origin.
Velocity and acceleration both are perpendicular to
→
r
.
Velocity is acceleration both are parallel to
→
r
.
Velocity is perpendicular to
→
r
and acceleration is directed towards the origin.

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