Main content

Motion in a plane

Introduction to vectors and two-dimensional motion

Learn
Introduction to two-dimensional motion: vector review
(Opens a modal)
Practice
Describing two-dimensional motion with vectors
4 questions

Analyzing vectors using trigonometry

Learn
Visualizing vectors in 2 dimensions
(Opens a modal)
Analyzing vectors using trigonometry review
(Opens a modal)
Practice
Adding and decomposing vectors using trigonometry
4 questions

Review: Unit vectors

Learn
Unit vectors and engineering notation
(Opens a modal)
Unit vector notation
(Opens a modal)
Unit vector notation (part 2)
(Opens a modal)

Graphs of projectile motion

Learn
Projectile motion graphs
(Opens a modal)
Projectile motion graphs review
(Opens a modal)
Practice
2D projectile motion: Identifying graphs for projectiles
4 questions
2D projectile motion: Vectors and comparing multiple trajectories
4 questions

Horizontally launched projectiles

Learn
Horizontally launched projectile
(Opens a modal)
What are velocity components?
(Opens a modal)
Horizontally launched projectile review
(Opens a modal)
Practice
Solving kinematic equations for horizontal projectiles
4 questions

Projectiles launched at an angle

Learn
Projectile at an angle
(Opens a modal)
Projectiles launched at an angle review
(Opens a modal)
Practice
Angled launch projectile vectors
4 questions
Comparing projectile trajectories
4 questions

Projectiles launched from/to a height

Learn
Launching and landing on different elevations
(Opens a modal)
Total displacement for projectile
(Opens a modal)
Total final velocity for projectile
(Opens a modal)
Correction to total final velocity for projectile
(Opens a modal)
What is 2D projectile motion?
(Opens a modal)

Projectile on an incline

Learn
Projectile on an incline
(Opens a modal)

Relative motion in 2D

Learn
Relative velocity in 2D
(Opens a modal)
Rain man problem
(Opens a modal)

Uniform circular motion introduction

Learn
Angular motion variables
(Opens a modal)
Distance or arc length from angular displacement
(Opens a modal)
Angular velocity and speed
(Opens a modal)
Connecting period and frequency to angular velocity
(Opens a modal)
Radius comparison from velocity and angular velocity: Worked example
(Opens a modal)
Linear velocity comparison from radius and angular velocity: Worked example
(Opens a modal)
Change in period and frequency from change in angular velocity: Worked examples
(Opens a modal)
Uniform circular motion and centripetal acceleration review
(Opens a modal)
Practice
Circular motion basics: Angular velocity, period, and frequency
4 questions

Centripetal acceleration

Learn
Race cars with constant speed around curve
(Opens a modal)
Visual understanding of centripetal acceleration formula
(Opens a modal)
Deriving formula for centripetal acceleration from angular velocity
(Opens a modal)
Change in centripetal acceleration from change in linear velocity and radius: Worked examples
(Opens a modal)
Centripetal acceleration review
(Opens a modal)
Relating angular and regular motion variables
(Opens a modal)
Calculus proof of centripetal acceleration formula
(Opens a modal)
Practice
Predicting changes in centripetal acceleration
4 questions

About this unit

Now that we understand velocity and acceleration well in one-dimension, we can explore scenarios that are even more fun. With a little bit of trigonometry, we can think about whether a baseball can clear the "green monster" at Fenway Park.