3. Mechanics

Kinematics — Quiz

Test your understanding of kinematics with 5 practice questions.

Practice Questions

Question 1

Which of the following describes the motion of a particle where its acceleration is dependent on its displacement, time, or velocity?

Question 2

A particle moves in a straight line such that its velocity $v$ at time $t$ is given by $v = 3t^2 - 2t + 1 \text{ m/s}$. What is the acceleration of the particle at $t = 2 \text{ s}$?

Question 3

The position vector of a particle P at time $t$ seconds is given by $\mathbf{r} = (2t \mathbf{i} + (3t^2 - 1) \mathbf{j}) \text{ m}$. What is the velocity vector of the particle at $t = 1 \text{ s}$?

Question 4

In the context of kinematics, what does a position-time graph with a constant positive slope represent?

Question 5

A particle's displacement $s$ (in meters) is given by $s = 2t^3 - 5t^2 + 4t - 1$, where $t$ is in seconds. What is the initial displacement of the particle?