3. Applications of Derivatives

Motion Analysis — Quiz

Test your understanding of motion analysis with 5 practice questions.

Practice Questions

Question 1

If the position of a particle is given by $s(t) = 4t + 7$, what is its velocity function?

Question 2

A particle's velocity is given by $v(t) = 3t^2 - 2t$. What is its acceleration function?

Question 3

What does a positive acceleration indicate about a particle's motion?

Question 4

If a particle's position is described by $s(t) = t^2 - 4t + 3$, what is its velocity at $t = 0$?

Question 5

When a particle's velocity is zero and its acceleration is non-zero, what is happening to the particle?