The position vector of a particle vector R as a function of time is given by vector R = 4sin(2πt)i + 4cos (2πt) j where R is in meters, t is in seconds and i and j denote unit vectors along x-and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?
(a) Magnitude of the velocity of particle is 8 meter/second.
(b) Path of the particle is a circle of radius 4 meter.
(c) Acceleration vector is along vector -R
(d) Magnitude of acceleration vector is v²/R, where v is the velocity of particle.