\(\frac{ md \overrightarrow{ v }}{ dt }=t \hat{i}+3 t ^2 \hat{ j }\)

\(m =1 kg , \int \limits_0^{\vec{v}} dv =\int \limits_0^{ t } tdt \hat{ i }+\int \limits_0^{ t } 3 t ^2 dt \hat{ j } ~\\ \overrightarrow{ v }=\frac{ t ^2}{2} \hat{ i }+ t ^3 \hat{ j }\)

\(\text { Power }=\overrightarrow{ F } \cdot \overrightarrow{ V }=\frac{ t ^3}{2}+3 t ^5\) \(\text { At } t =2, \text { power }=\frac{8}{2}+3 \times 32\)

\(=100\)