## 2D Motion & Vectors

What's better than motion in 1 dimension? Motion in 2 dimensions! **Two-dimensional (2D) motion** is when an object moves in two directions
(along two axes) at the same time. That could be an object that moves
horizontally and vertically at the same time, like a cannon ball launched through the air. Or that could be an object that moves in two horizontal
directions at the same time, like a car driving North and East at the same time (Northeast).

In this lesson we'll learn about **2D motion on a horizontal plane** and things that move along the ground in two dimensions.
Think of a car driving around, a boat crossing a river, or someone skating around on a frozen pond.
In the next lesson we'll learn about **2D projectile motion**.

We're going to describe 2D motion using
**vectors**,
which means we can use the trig functions to break down 2D motion into its 1D **components**:
motion in the **x** direction and motion in the **y** direction. These two motions are **completely independent** - they don't affect each other.
However, they are happening at the same time, so we can use **time** as the link between our x motion and y motion equations.

We'll learn how to describe **position**, **displacement** and **velocity** in two dimensions, as well as
**how to add vectors** using the tip-to-tail method or by adding components.

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###### Introduction to 2D motion

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###### 2D position and coordinates

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###### 2D displacement and vectors

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###### How to describe vector angles

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###### Summary

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###### Example 1 - Adding 1D vectors

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###### Example 2 - Adding 2D vectors

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###### Example 3 - Adding 2D vectors with negative components

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###### Adding vectors graphically with the tip-to-tail method

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###### Video setup: constant velocity with no friction

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###### Velocity vectors

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###### 2D velocity vectors and components

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###### Adding velocity vectors, finding the magnitude and angle

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###### x and y motions are independent

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###### Example: boat crossing a river

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###### Summary

From the **Vectors** study guide:

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###### Key concepts and tips for solving 2D motion and vector problems

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###### Problem 1: Adding 2D vectors

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###### Problem 2: Displacement vectors

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###### Problem 3: Velocity vectors

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###### Problem 4: Coordinates, displacement and velocity vectors, kinematics

**Answers**

What's better than motion in 1 dimension? Motion in 2 dimensions! **Two-dimensional (2D) motion** is when an object moves in two directions
(along two axes) at the same time. That could be an object that moves
horizontally and vertically at the same time, like a cannon ball launched through the air. Or that could be an object that moves in two horizontal
directions at the same time, like a car driving North and East at the same time (Northeast).

In this lesson we'll learn about **2D motion on a horizontal plane** and things that move along the ground in two dimensions.
Think of a car driving around, a boat crossing a river, or someone skating around on a frozen pond.
In the next lesson we'll learn about **2D projectile motion**.

We're going to describe 2D motion using
**vectors**,
which means we can use the trig functions to break down 2D motion into its 1D **components**:
motion in the **x** direction and motion in the **y** direction. These two motions are **completely independent** - they don't affect each other.
However, they are happening at the same time, so we can use **time** as the link between our x motion and y motion equations.

We'll learn how to describe **position**, **displacement** and **velocity** in two dimensions, as well as
**how to add vectors** using the tip-to-tail method or by adding components.

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