The x and y coordinates of the particle at any time are $\mathrm{x}=$ $5\mathrm{t}-2{\mathrm{t}}^2$ and \(\mathrm{y}=10\mathrm{t}\) respectively, where x and y are in meters and \(\mathrm{t}\) in seconds. The acceleration of the particle at \(\mathrm{t}=2\) s is:
1. \(5\hat{i}\) $\mathrm{m}/{\mathrm{s}}^2$

2. \(-4\hat{i}\) $\mathrm{m}/{\mathrm{s}}^2$

3. \(-8\hat{j}\) $\mathrm{m}/{\mathrm{s}}^2$

4. \(0\)

A particle moves so that its position vector is given by \(r=\cos \omega t \hat{x}+\sin \omega t \hat{y}\) where \(\omega\) is a constant.  Based on the information given, which of the following is true?