The position vector of a particle $\overrightarrow{R}$ as a function of time is given by :<br> $\overrightarrow{R} = 4 \sin (2 \pi t) \hat{i} + 4 \cos (2 \pi t) \hat{j}$ <br> Where R is in meters, t is in seconds and $\hat{i}$ and $\hat{j}$ denote unit vectors along x- and y-directions, respectively. Which one of the following statements is wrong for the motion of particle ?

Question

( A ) Magnitude of acceleration vector is $\frac{v^2}{R}$, where $v$ is the velocity of particle
( B ) Path of the particle is a circle of radius 4
( C ) Magnitude of the velocity of particle is 8 meter/ second
( D ) Acceleration vector is along $– \overrightarrow{R}$