A body of mass 5 kg under the action of constant force $\vec{F} = F_x \hat{i} + F_y \hat{j}$ has velocity at $\mathrm{t} = 0 \mathrm{~s}$ as $\overrightarrow{\mathrm{v}} = (6\hat{\mathrm{i}} - 2\hat{\mathrm{j}}) \mathrm{m/s}$ and at $\mathrm{t} = 10 \mathrm{~s}$ as $\overrightarrow{\mathrm{v}} = +6\hat{\mathrm{j}} \mathrm{m/s}$. The force $\overrightarrow{\mathrm{F}}$ is: (1) $(-3\hat{\mathrm{i}} + 4\hat{\mathrm{j}}) \mathrm{N}$ (2) $\left(-\frac{3}{5}\hat{i} + \frac{4}{5}\hat{j}\right) \mathrm{N}$ (3) $(3\hat{\mathrm{i}} - 4\hat{\mathrm{j}}) \mathrm{N}$ (4) $\left(\frac{3}{5}\hat{\mathrm{i}} - \frac{4}{5}\hat{\mathrm{j}}\right) \mathrm{N}$
A body of mass 5 kg under the action of constant force $\vec{F} = F_x \hat{i} + F_y \hat{j}$ has velocity at $\mathrm{t} = 0 \mathrm{~s}$ as $\overrightarrow{\mathrm{v}} = (6\hat{\mathrm{i}} - 2\hat{\mathrm{j}}) \mathrm{m/s}$ and at $\mathrm{t} = 10 \mathrm{~s}$ as $\overrightarrow{\mathrm{v}} = +6\hat{\mathrm{j}} \mathrm{m/s}$. The force $\overrightarrow{\mathrm{F}}$ is:\\
(1) $(-3\hat{\mathrm{i}} + 4\hat{\mathrm{j}}) \mathrm{N}$\\
(2) $\left(-\frac{3}{5}\hat{i} + \frac{4}{5}\hat{j}\right) \mathrm{N}$\\
(3) $(3\hat{\mathrm{i}} - 4\hat{\mathrm{j}}) \mathrm{N}$\\
(4) $\left(\frac{3}{5}\hat{\mathrm{i}} - \frac{4}{5}\hat{\mathrm{j}}\right) \mathrm{N}$