Decoding

A particle moves so that its position vector is given by r ⃗=cos⁡ωtx ˆ+sin⁡ωty ˆ, where ω, is a constant. Which of the following is true?
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(a) Velocity is perpendicular to r ⃗ and acceleration is directed towards the origin.
(b) Velocity is perpendicular to r ⃗ and acceleration is directed away from the origin.
(c) Velocity and acceleration both are perpendicular to r ⃗.
(d) Velocity and acceleration both are parallel to r ⃗.
Ans.
a
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