The position vector of a particle $\overrightarrow{\mathrm{R}}$ as a function of time is given by:

$\overrightarrow{\mathrm{R}}=4\sin \left(2\mathrm{\pi }\mathrm{t}\right)\widehat{\mathrm{i}}+4\mathrm{c}\mathrm{o}\mathrm{s}\left(2\mathrm{\pi }\mathrm{t}\right)\widehat{\mathrm{j}}$

Where R is in meters, t is in seconds and $\widehat{\mathrm{i}}$ and $\widehat{\mathrm{j}}$ denote unit vectors along x- and y-directions, respectively. Which one of the following statements is wrong for the motion of particle?