2. Lines, Planes, and Vector-Valued Functions
Motion In Space — Quiz
Test your understanding of motion in space with 5 practice questions.
Practice Questions
Question 1
What is the velocity vector of a particle with position vector $\mathbf{r}(t)=\langle t^2,3t,2\rangle$?
Question 2
A particle has velocity $\mathbf{v}(1)=\langle 3,4\rangle$. What is its speed at $t=1$?
Question 3
If $\mathbf{r}(t)=\langle t^3,5t-1\rangle$, what is the acceleration at $t=1$?
Question 4
A particle starts at $\mathbf{r}(0)=\langle 1,-2,0\rangle$ and moves with constant velocity $\mathbf{v}=\langle 2,1,3\rangle$. What is $\mathbf{r}(4)$?
Question 5
Which integral gives the arc length of the curve $\mathbf{r}(t)$ on $a\le t\le b$?