PhysicsMedium53×since 2003Q7817A particle moves such that its position vector r→(t)=cosωti^+sinωtj^\overrightarrow r \left( t \right) = \cos \omega t\widehat i + \sin \omega t\widehat jr(t)=cosωti+sinωtj where ω\omegaω is a constant and t is time. Then which of the following statements is true for the velocity v→(t)\overrightarrow v \left( t \right)v(t) and acceleration a→(t)\overrightarrow a \left( t \right)a(t) of the particle :Av→\overrightarrow vv and a→\overrightarrow aa both are perpendicular to r→\overrightarrow rrBv→\overrightarrow vv and a→\overrightarrow aa both are parallel to r→\overrightarrow rrCv→\overrightarrow vv is perpendicular to r→\overrightarrow rr and a→\overrightarrow aa is directed towards the originDv→\overrightarrow vv is perpendicular to r→\overrightarrow rr and a→\overrightarrow aa is directed away from the originCheck answerSkip