The position vector of a particle `vec R` as a functions of time is given by `vec R= 4 sin (2pi t) hat i + 4 cos (2 pi t) hat j` where, R is in metres, 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?

Options

A. Path of the particle is a circle of radius 4 metre.
B. Acceleration vector is along `- vecR`.
C. Magnitude of acceleration vector is `v^2/R` where v is the velocity of particle.
D. Magnitude of the velocity of particle is 8 metre /second.