# Vehicle Velocity#

A bus’s position as a function of time is given by $$\vec{r} =$$ (1$$t^2 -$$ 2$$t)\hat{\imath} + ($$ 9$$t^{-1}+$$ 2 $$t^3)\hat{\jmath}$$ where $$\vec{r}$$ is in meters and $$t$$ is in seconds.

## Part 1#

What is the bus’s velocity at $$t=$$ 2 $$s$$?

• (2$$\hat{\imath}$$ + 87/4$$\hat{\jmath}$$) $$m/s$$

• (2$$\hat{\imath}$$ + 24$$\hat{\jmath}$$) $$m/s$$

• (0$$\hat{\imath}$$ + 41/2$$\hat{\jmath}$$) $$m/s$$

• (0$$\hat{\imath}$$ + 87/4$$\hat{\jmath}$$) $$m/s$$

• (2$$\hat{\imath}$$ + 41/2$$\hat{\jmath}$$) $$m/s$$