4. Integration

Kinematics Applications — Quiz

Test your understanding of kinematics applications with 5 practice questions.

Practice Questions

Question 1

A particle's velocity is given by $v(t) = 5t$ m/s. What is the displacement of the particle from $t=0$ to $t=4$ seconds?

Question 2

If a particle has an acceleration of $a(t) = 2$ m/s$^2$, what is the velocity function if the initial velocity is $3$ m/s?

Question 3

A particle moves with a velocity given by $v(t) = 6t$ m/s. What is the area under the velocity-time graph from $t=1$ to $t=3$ seconds?

Question 4

If the displacement of a particle is given by $s(t) = 4t^2 + 2t$, what is its velocity function?

Question 5

A particle starts from rest and has an acceleration of $a(t) = 3$ m/s$^2$. What is the displacement of the particle at $t=2$ seconds?