A body of mass 5 kg under the action of constant force $\;\overrightarrow{F}=F_{x} \hat{i} + F_{y} \hat{j}\;$ has velocity at t=0s as $\;\overrightarrow{v}=(6 \hat{i} -2 \hat{j})\;m/s\;$ and at t=10s as $\;\overrightarrow{v}=+6\hat{j}\; m/s\;$ . The force $\;\overrightarrow{F}\;$ is :

Question

$(a)\;(-3\hat{i}+4 \hat{j})\;N \qquad(b)\;(-\large\frac{3}{5}\hat{i}+\large\frac{4}{5} \hat{j})\;N\qquad(c)\;(3\hat{i}-4 \hat{j})\;N\qquad(d)\;(\large\frac{3}{5}\hat{i}-\large\frac{4}{5} \hat{j})\;N$