3. Geometry and Trigonometry

Vector Applications To Kinematics — Quiz

Test your understanding of vector applications to kinematics with 5 practice questions.

Practice Questions

Question 1

A particle has position vector $\mathbf{r}(t) = \langle 2t, t^2 \rangle$. What is its velocity vector $\mathbf{v}(t)$?

Question 2

A particle has velocity vector $\mathbf{v}(t) = \langle 3, 4 \rangle$. What is its speed?

Question 3

A particle moves with constant acceleration $\mathbf{a}(t) = \langle 0, -9.8 \rangle$. Which statement best describes its motion?

Question 4

If $\mathbf{r}(t) = \langle t, 2t \rangle$, what is the path of the particle in the $xy$-plane?

Question 5

A particle has position vector $\mathbf{r}(t) = \langle t^2, t \rangle$. What is its acceleration vector $\mathbf{a}(t)$?