The position of an object having mass 0.1 kg as a function of time t is given as r =(10 t^2 i +5 t^3 j ) m. At t=1 s, which of the following…

The position of an object having mass $\displaystyle 0.1$ kg as a function of time $\displaystyle t$ is given as $\displaystyle \vec{r}=\left(10 t^2 \hat{\mathrm{i}}+5 t^3 \hat{\mathrm{j}}\right) \mathrm{m}$. At $\displaystyle t=1 \mathrm{~s}$, which of the following statements are correct ? A. The linear momentum $\displaystyle \vec{p}=(2 \hat{\mathrm{i}}+1.5 \hat{\mathrm{j}}) \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$. B. The force acting on the object $\displaystyle \overrightarrow{\mathrm{F}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}) \mathrm{N}$. C. The angular momentum of the object about its origin $\displaystyle \overrightarrow{\mathrm{L}}=15 \hat{\mathrm{k}} \mathrm{J} \mathrm{s}$. D. The torque acting on the object about its origin $\displaystyle \vec{\tau}=20 \hat{\mathrm{k}} \mathrm{N} \mathrm{m}$. Choose the correct answer from the options given below :