The position of particle is given by \[\vec{r}=2\,{{t}^{2}}\widehat{i}+3\,t\widehat{j}+4\widehat{k},\] where \[t\] is in second and the coefficients have proper units for \[\vec{r}\] to be in meter. The \[\vec{a}\,(t)\] of the particle at \[t=1s\,\] is

\[\text{2 m }{{\text{s}}^{-2}}\] along z-direction

\[\text{4}\,\text{m }{{\text{s}}^{-2}}\] along y-direction

\[\text{3}\,\text{m }{{\text{s}}^{-2}}\] along x-direction

\[\text{4 m }{{\text{s}}^{-2}}\] along x-direction

The position of particle is given by \[\vec{r}=2\,{{t}^{2}}\widehat{i}

1.	The position of particle is given by \[\vec{r}=2\,{{t}^{2}}\widehat{i}+3\,t\widehat{j}+4\widehat{k},\] where \[t\] is in second and the coefficients have proper units for \[\vec{r}\] to be in meter. The \[\vec{a}\,(t)\] of the particle at \[t=1s\,\] is
A.	\[\text{4}\,\text{m }{{\text{s}}^{-2}}\] along y-direction
B.	\[\text{3}\,\text{m }{{\text{s}}^{-2}}\] along x-direction
C.	\[\text{4 m }{{\text{s}}^{-2}}\] along x-direction
D.	\[\text{2 m }{{\text{s}}^{-2}}\] along z-direction
Answer» D. \[\text{2 m }{{\text{s}}^{-2}}\] along z-direction