KinematicsMedium
Question
A 4 kg mass moves under the influence of a force $\overrightarrow{F} = \left( 4t^{3}\widehat{i} - 3t\widehat{j} \right)N$ where $t$ is the time in second.
If mass starts from origin at $t = 0$, the velocity and position after $t = 2\text{ }s$ will be :
Options
A.$\overrightarrow{v} = 3\widehat{i} + \frac{3}{2}\widehat{j}\overrightarrow{r} = \frac{6}{5}\widehat{i} + \widehat{j}$
B.$\overrightarrow{v} = 4\widehat{i} - \frac{3}{2}\widehat{j}\overrightarrow{r} = \frac{8}{5}\widehat{i} - \widehat{j}$
C.$\overrightarrow{v} = 4\widehat{i} + \frac{5}{2}\widehat{j}\overrightarrow{r} = \frac{8}{5}\widehat{i} + 2\widehat{j}$
D.$\overrightarrow{v} = 4\widehat{i} - \frac{3}{2}\widehat{j}\overrightarrow{r} = \frac{6}{5}\widehat{i} - \widehat{j}$
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