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Unit: Motion in a plane

Introduction to vectors and two-dimensional motion

Learn
Introduction to two-dimensional motion: vector review
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Practice
Describing two-dimensional motion with vectors
4 questions

Analyzing vectors using trigonometry

Learn
Visualizing vectors in 2 dimensions
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Analyzing vectors using trigonometry review
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Practice
Adding and decomposing vectors using trigonometry
4 questions

Review: Unit vectors

Learn
Unit vectors and engineering notation
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Unit vector notation
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Unit vector notation (part 2)
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Graphs of projectile motion

Learn
Projectile motion graphs
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Projectile motion graphs review
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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
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What are velocity components?
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Horizontally launched projectile review
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Practice
Solving kinematic equations for horizontal projectiles
4 questions

Projectiles launched at an angle

Learn
Projectile at an angle
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Projectiles launched at an angle review
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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
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Total displacement for projectile
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Total final velocity for projectile
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Correction to total final velocity for projectile
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What is 2D projectile motion?
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Projectile on an incline

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Projectile on an incline
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Relative motion in 2D

Learn
Relative velocity in 2D
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Rain man problem
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Uniform circular motion introduction

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

Centripetal acceleration

Learn
Race cars with constant speed around curve
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Visual understanding of centripetal acceleration formula
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Deriving formula for centripetal acceleration from angular velocity
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Change in centripetal acceleration from change in linear velocity and radius: Worked examples
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Centripetal acceleration review
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Relating angular and regular motion variables
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Calculus proof of centripetal acceleration formula
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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.