\begin{aligned} & \vec{a}=\frac{\vec{F}}{m}=t \hat{i}+3 t^2 \hat{j} \\ & \overrightarrow{\mathrm{v}}=\int_0^2 \overrightarrow{\mathrm{a}} \cdot \mathrm{dt}=\left[\frac{\mathrm{t}^2}{2} \hat{\mathrm{i}}+\frac{3 \mathrm{t}^3}{3} \hat{\mathrm{j}}\right]_0^2 \\ & =(2 \hat{\mathrm{i}}+8 \hat{\mathrm{j}}) \mathrm{m} / \mathrm{s} \\ & \overrightarrow{\mathrm{~F}}_{\mathrm{t}=2}=(4 \hat{\mathrm{i}}+24 \hat{\mathrm{j}}) \mathrm{N} \\ & \mathrm{P}=\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{v}}=8+192=200 \mathrm{~W} \end{aligned}