(Solved): Below is a position vector function and its graph. r(t)=t29,t37t a. Find the velocity o ...

Below is a position vector function and its graph. $\vec{r}(t)=?t^2?9,t^3?7t?$ a. Find the velocity of this position vector function at time $t$ : $\vec{v}(t)=$ b. Find the speed of this position vector function at time $t$. a. Find the velocity of this position vector function at time $t$ : $\overrightarrow{\mathbf{v}}(t)=$ b. Find the speed of this position vector function at time $t$ : $?\vec{v}(t)?=$ c. Find the acceleration of this position vector function at time $t$ : $\vec{a}(t)=$ d. Find a vector equation for the tangent line to this curve at the point $(?8,?6)$. $\vec{s}(t)=$