Physics - NLM Question with Solution | TestHub

Mass of particle, $\mathrm{m}=500\mathrm{g}=0.5\mathrm{kg}$
velocity of a particle, $\vec{v}=2t\hat{i}+3t^2\hat{j}$
$\overrightarrow{\mathrm{a}}=\frac{\mathrm{d}\overrightarrow{\mathrm{v}}}{\mathrm{dt}}=2\hat{\mathrm{i}}+6\mathrm{t}\hat{\mathrm{j}}$
at $\mathrm{t}=1,\overrightarrow{\mathrm{a}}=2\hat{\mathrm{i}}+6\hat{\mathrm{j}}$
Force acting on the particle,
$\overrightarrow{\mathrm{F}}=\mathrm{ma}=0.5(2\hat{\mathrm{i}}+6\hat{\mathrm{j}})=\hat{\mathrm{i}}+3\hat{\mathrm{j}}$
$\overrightarrow{\mathrm{F}}=\hat{\mathrm{i}}+x\hat{\mathrm{j}}$ Hence $x=3$