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