1-D Kinematics

Kinematics is the study of motion. One-dimensional kinematics describes an object moving along a line (or in 1-D).

When approaching a kinematics problem, it is helpful to draw yourself a diagram of the problem and label all the quantities which are known and the one you need to find. Once you know what you have and what you are looking for, you can try to find equations which connect these quantities.

Check out an example of a 1-D kinematics problem: The Case of the Falling Grapefruit

Sometimes thinking through where the kinematics equations come from can help us to learn these equations and be able to recall them more quickly when we need to use them on a quiz or exam. This post includes the derivations of two 1-D kinematics equations. Note that these derivations use both integrals and derivatives. I don’t recommend viewing the derivations if you haven’t had calculus yet.


Topics in One-Dimensional Kinematics:

Velocity vs. Speed
Acceleration
Constant Acceleration
Falling Objects


Simulations

Interactive Velocity Exercise from The Physics Classroom