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.
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What is projectile motion?
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1D vs 2D projectile motion
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Kinematic equations for projectile motion
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Important concepts for projectile motion
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Overview of 1D projectile motion
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Example 1: Object dropped from rest
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Example 2: Object with initial downwards velocity
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Example 3: Object with initial upwards velocity
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Comparing all 3 examples
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Summary
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Overview of 2D projectile motion
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Example 1: initial horizontal velocity
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Example 2: initial velocity at an angle
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Projectile motion range
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2D projectile motion scenarios
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Summary
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Concepts and tips for projectile motion problems
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Problem 1: 1D - final speed
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Problem 2: 1D - initial speed
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Problem 3: 1D - velocity graph
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Problem 4: 2D - angle of final velocity
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Problem 5: 2D - ball over a fence
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Problem 6: 2D - range
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.
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