4. Contextual Applications of Differentiation

Straight-line Motion: Connecting Position, Velocity, And Acceleration — Quiz

Test your understanding of straight-line motion: connecting position, velocity, and acceleration with 5 practice questions.

Practice Questions

Question 1

If an object's position is given by $s(t)$, which quantity is given by $s'(t)$?

Question 2

An object has positions $s(3)=5$ and $s(7)=17$. What is its average velocity on the interval $[3,7]$?

Question 3

What does it mean if an object's velocity is positive?

Question 4

If an object's velocity is $0$ at a particular instant, what is true at that instant?

Question 5

A particle has position $s(t)=t^2-4t$. What is its velocity at $t=3$?