## Projectile Motion

Now that we understand
**1D motion**
and
**2D motion**,
let's launch some cannon balls and see what happens.
And don't worry, we'll ignore air resistance (see the
**air resistance** lesson to understand why).

In this lesson we'll learn about **1D and 2D projectile motion** - the motion of an object moving through the air which is only affected
by the force of
**gravity** and nothing else. This includes objects that are thrown straight up, falling straight down, or moving sideways through the air
(we call all of these **projectiles**).

We'll start with an introduction to projectile motion to understand the basics like the **acceleration due to gravity**, **g**.

Then we'll learn about the simpler case, 1D projectile motion, where an object only moves in the vertical direction.

After that we'll learn about 2D projectile motion.
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.
It will help to go through the
**2D motion and vectors**
lesson before learning 2D projectile motion.

#### 0

##### :

#### 3

#### 3

###### What is projectile motion?

#### 3

##### :

#### 2

#### 1

###### 1D vs 2D projectile motion

#### 5

##### :

#### 1

#### 5

###### Kinematic equations for projectile motion

#### 6

##### :

#### 2

#### 5

###### Important concepts for projectile motion

#### 0

##### :

#### 5

#### 7

###### Overview of 1D projectile motion

#### 3

##### :

#### 1

#### 3

###### Example 1: Object dropped from rest

#### 2

#### 4

##### :

#### 5

#### 7

###### Example 2: Object with initial downwards velocity

#### 3

#### 3

##### :

#### 3

#### 0

###### Example 3: Object with initial upwards velocity

#### 4

#### 5

##### :

#### 0

#### 4

###### Comparing all 3 examples

#### 4

#### 8

##### :

#### 2

#### 2

###### Summary

#### 1

##### :

#### 0

#### 3

###### Overview of 2D projectile motion

#### 6

##### :

#### 4

#### 0

###### Example 1: initial horizontal velocity

#### 3

#### 0

##### :

#### 2

#### 4

###### Example 2: initial velocity at an angle

#### 4

#### 4

##### :

#### 2

#### 6

###### Projectile motion range

#### 5

#### 0

##### :

#### 3

#### 9

###### 2D projectile motion scenarios

#### 5

#### 3

##### :

#### 1

#### 5

###### Summary

**Introduction to Projectile Motion**

V1: Each slide is a single image

V2: Each slide contains all of the individual graphics used in the video so you can edit things

**1D Projectile Motion**

V1: These include many slides that cover almost all of the transitions/animations in the video

V2: These include fewer slides that show some key points in the video

#### 0

##### :

#### 1

#### 8

###### Concepts and tips for projectile motion problems

#### 6

##### :

#### 2

#### 7

###### Problem 1: 1D - final speed

#### 1

#### 5

##### :

#### 1

#### 0

###### Problem 2: 1D - initial speed

#### 1

#### 9

##### :

#### 0

#### 2

###### Problem 3: 1D - velocity graph

#### 2

#### 3

##### :

#### 5

#### 6

###### Problem 4: 2D - angle of final velocity

#### 3

#### 0

##### :

#### 1

#### 5

###### Problem 5: 2D - ball over a fence

#### 3

#### 9

##### :

#### 5

#### 2

###### Problem 6: 2D - range

**Multiple-Choice Questions**

**Answers**

- Khan Academy - Impact velocity from given height
- Khan Academy - Horizontally launched projectile
- Khan Academy - Projectile at an angle

Now that we understand
**1D motion**
and
**2D motion**,
let's launch some cannon balls and see what happens.
And don't worry, we'll ignore air resistance (see the
**air resistance** lesson to understand why).

In this lesson we'll learn about **1D and 2D projectile motion** - the motion of an object moving through the air which is only affected
by the force of
**gravity** and nothing else. This includes objects that are thrown straight up, falling straight down, or moving sideways through the air
(we call all of these **projectiles**).

We'll start with an introduction to projectile motion to understand the basics like the **acceleration due to gravity**, **g**.

Then we'll learn about the simpler case, 1D projectile motion, where an object only moves in the vertical direction.

After that we'll learn about 2D projectile motion.
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.
It will help to go through the
**2D motion and vectors**
lesson before learning 2D projectile motion.

## 1 comments