NEET 2016 Physics Circular Motion MCQ Question
A particle moves so that its position vector is given by r⃗ = cosωt î + sinωt ĵ, where ω is a constant. Which of the following is true?
Velocity is perpendicular to r⃗ and acceleration is directed towards the origin.
Velocity is perpendicular to r⃗ and acceleration is directed away from the origin.
Velocity and acceleration both are perpendicular to r⃗.
Velocity and acceleration both are parallel to r⃗.
Correct Answer
Detailed Explanation
The particle moves in a circle, so the velocity is tangent to the circle and perpendicular to the radius vector. The acceleration is centripetal, directed towards the origin.
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