Q .     The position vector of a particle `vecR` as a function of time is given by:
`vecR = 4 sin(2\pi t)\hat{i}+4 cos (2\pi t)\hat{j}`,
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?

AIPMT 2015
A

Path of the particle is a circle of radius `4\ m`

B

Acceleration vector is along -`vecR`.

C

Magnitude of acceleration vector is `\frac{v^2}{R}`, where `v` is the velocity of particle.

D

Magnitude of the velocity of particle is `8\ m//s`

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