A particle moves so that its position vector is given by r = t , x + t , y . Where is a constant. Which of the following is true?

NEET 2016 Physics question

A particle moves so that its position vector is given by . Where is a constant. Which of the following is true?

(1)Velocity and acceleration both are perpendicular to .
(2)Velocity and acceleration both are parallel to .
(3)Velocity is perpendicular to and acceleration is directed towards the origin.Correct
(4)Velocity is perpendicular to and acceleration is directed away from the origin.

Answer: (3)

Velocity: . Acceleration: . , so

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Question ID VK-091861