9. Parametric Equations, Polar Coordinates, and Vector-Valued Functions

Solving Motion Problems Using Parametric And Vector-valued Functions — Quiz

Test your understanding of solving motion problems using parametric and vector-valued functions with 5 practice questions.

Practice Questions

Question 1

A particle has position vector $r(t)=(3t,4t)$. What is its position when $t=2$?

Question 2

A particle moves along $x=t^2+1$ and $y=2t-3$. What is its velocity vector when $t=3$?

Question 3

If a particle has velocity vector $(3,4)$ at a certain time, what is its speed?

Question 4

A particle has position vector $r(t)=(t,t^2)$. What is its displacement from $t=1$ to $t=3$?

Question 5

A particle has position vector $r(t)=(\sin t,\cos t)$. What is its velocity vector when $t=0$?