One-dimensional motion

In this tutorial we begin to explore ideas of velocity and acceleration. We do exciting things like throw things off cliffs (far safer on paper than in real life) and see how high a ball will fly in the air.

Displacement, velocity, and time

This tutorial is the backbone of your understanding of kinematics (i.e., the motion of objects). You might already know that distance = rate x time. This tutorial essentially reviews that idea with a vector lens (we introduce you to vectors here as well). So strap your belts (actually this might not be necessary since we don't plan on decelerating in this tutorial) and prepare for a gentle ride of foundational physics knowledge.
Introduction to physics
An overview video of what physics is about as we delve deeper in future videos!
What is physics?
Before diving into the details, let's think about what physics is in the first place.
Intro to vectors & scalars
Distance, displacement, speed and velocity. Difference between vectors and scalars.
What is displacement?
Analyzing motion can get complicated. Learning precise vocabulary will help.
Calculating average velocity or speed
Example of calculating speed and velocity
Solving for time
Simple example of solving for time given distance and rate
Displacement from time and velocity example
Worked example of calculating displacement from time and velocity
Instantaneous speed and velocity
Instantaneous speed and velocity looks at really small displacements over really small periods of time
What is velocity?
Velocity or speed? Instantaneous or average? Keep building your physics vocabulary.
Position vs. time graphs
David explains how to read a position vs. time graph. He then explains how to use the graph to determine the following quantities: displacement, distance, average velocity, average speed, instantaneous velocity, and instantaneous speed.
What are position vs. time graphs?
See what we can learn from graphs that relate position and time.

Kinematic formulas and projectile motion

We don't believe in memorizing formulas and neither should you (unless you want to live your life as a shadow of your true potential). This tutorial builds on what we know about displacement, velocity and acceleration to solve problems in kinematics (including projectile motion problems). Along the way, we derive (and re-derive) some of the classic formulas that you might see in your physics book.
Average velocity for constant acceleration
Calculating average velocity when acceleration is constant
Acceleration of aircraft carrier take-off
Using what we know about take-off velocity and runway length to determine acceleration
Deriving displacement as a function of time, acceleration, and initial velocity
Deriving displacement as a function of time, constant acceleration and initial velocity
Plotting projectile displacement, acceleration, and velocity
Plotting projectile displacement, acceleration, and velocity as a function to change in time
Projectile height given time
Figuring out how high a ball gets given how long it spends in the air
Deriving max projectile displacement given time
Deriving a formula for maximum projectile displacement as a function of elapsed time
Impact velocity from given height
Determining how fast something will be traveling upon impact when it is released from a given height
What are the kinematic formulas?
Here are the main equations you can use to analyze situations with constant acceleration.
Viewing g as the value of Earth's gravitational field near the surface
Viewing g as the value of Earth's gravitational field near the surface rather than the acceleration due to gravity near Earth's surface for an object in freefall