2. Lines, Planes, and Vector-Valued Functions

Velocity, Acceleration, Arc Length — Quiz

Test your understanding of velocity, acceleration, arc length with 5 practice questions.

Practice Questions

Question 1

If $r(t)=\langle t^2,3t\rangle$, what is the velocity vector $v(t)$?

Question 2

If $r(t)=\langle \cos t,\sin t\rangle$, what is the acceleration vector $a(t)$?

Question 3

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

Question 4

What is the arc length of $r(t)=\langle t,2t\rangle$ for $0\le t\le 3$?

Question 5

Which formula gives the arc length of a smooth vector-valued function $r(t)$ from $t=a$ to $t=b$?