The position of a particle is given by $$\vec{r}(t)=4 t \hat{i}+2 t^2 \hat{j}+5 \hat{k} $$ where $\mathrm{t}$ is in seconds and $\mathrm{r}$ in metre. Find the magnitude and direction of velocity $v(t)$, at $t=1 \mathrm{~s}$, with respect to $\mathrm{x}$-axis

Question

The position of a particle is given by

$$\vec{r}(t)=4 t \hat{i}+2 t^2 \hat{j}+5 \hat{k} $$

where $\mathrm{t}$ is in seconds and $\mathrm{r}$ in metre. Find the magnitude and direction of velocity $v(t)$, at $t=1 \mathrm{~s}$, with respect to $\mathrm{x}$-axis

$4 \sqrt{2} \mathrm{~ms}^{-1}, 45^{\circ}$

$4 \sqrt{2} \mathrm{~ms}^{-1}, 60^{\circ}$

$3 \sqrt{2} \mathrm{~ms}^{-1}, 30^{\circ}$

$3 \sqrt{2} \mathrm{~ms}^{-1}, 45^{\circ}$

Solution

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