cover

Three Racing Siblings

What is the difference between speed, velocity, and acceleration?
There are three words that physics teachers love and students mix up: speed, velocity, and acceleration. They sound like

There are three words that physics teachers love and students mix up: speed, velocity, and acceleration. They sound like triplets. They are not. They are more like three siblings with very different personalities, and once you've met each one properly, you'll never confuse them again.

Start with speed, the simplest of the three. Speed answers exactly one question: ~~how fast?~~ It's a number with a unit

Start with speed, the simplest of the three. Speed answers exactly one question: how fast? It's a number with a unit stuck to it, like "60 kilometers per hour" or "two steps per second." That's all speed cares about. It never asks where you're going. A car doing 60 north and a car doing 60 south have the exact same speed.

Now meet ++velocity++, _speed's slightly fussier sibling_. Velocity wants the same number โ€” how fast โ€” but it also deman

Now meet velocity, speed's slightly fussier sibling. Velocity wants the same number โ€” how fast โ€” but it also demands one more thing: which direction. "60 kilometers per hour" is a speed. "60 kilometers per hour, heading north" is a velocity. That little tag-along direction changes everything, as you're about to see.

~~Here's why direction matters so much.~~ Imagine our car going around a **perfectly round racetrack** at a steady 60. *

Here's why direction matters so much. Imagine our car going around a perfectly round racetrack at a steady 60. Its speed never changes โ€” always 60, lap after lap. But its velocity changes constantly, because it's always turning to face a new direction. Same speed the whole time. Different velocity every single second.

So whenever you hear "velocity," **picture an arrow**. *The length of the arrow is how fast*. *The way the arrow points

So whenever you hear "velocity," picture an arrow. The length of the arrow is how fast. The way the arrow points is which direction. Speed is just the length on its own, with the arrow tossed away. Velocity keeps the whole arrow.

Which brings us to the third sibling: ++acceleration++. **This is the one people get most wrong**, because most folks th

Which brings us to the third sibling: acceleration. This is the one people get most wrong, because most folks think it just means "speeding up." It means something bigger. Acceleration is any change in velocity at all. Speeding up? Acceleration. Slowing down? Also acceleration. Turning a corner at a steady pace? Believe it or not, still acceleration โ€” because your direction changed.

Think of velocity as your arrow, and acceleration as anything that **messes with that arrow**. ~~Stretch the arrow longe

Think of velocity as your arrow, and acceleration as anything that messes with that arrow. Stretch the arrow longer โ€” that's speeding up. Shrink it โ€” slowing down. Swing it to point a new way โ€” turning. Any of those counts. If the arrow is changing, acceleration is at work.

This is also why you can feel acceleration but never feel speed. Sit in a smooth plane cruising at **900 kilometers per

This is also why you can feel acceleration but never feel speed. Sit in a smooth plane cruising at 900 kilometers per hour and you feel perfectly still โ€” huge speed, but nothing changing. The push you feel at takeoff, the tug as the car brakes, the lean in a sharp turn? That's acceleration grabbing you. Your body only notices when the arrow changes.

~~So there they are~~, the three siblings, sorted at last. Speed: how fast. Velocity: how fast, and which way. Accelerat

So there they are, the three siblings, sorted at last. Speed: how fast. Velocity: how fast, and which way. Acceleration: how the velocity is changing. One number, one arrow, and one troublemaker who keeps tugging on the arrow.

How was this book?

A Wonderleaf Book

Three Racing Siblings

โ€” What is the difference between speed, velocity, and acceleration? โ€”

Wonderleaf Editions
โ€” ex libris โ€”
A Wonderleaf Book

Three Racing Siblings

What is the difference between speed, velocity, and acceleration?

Wonderleaf Editions ยท MMXXVI
Scene 1
There are three words that physics teachers love and students mix up: speed, velocity, and acceleration. They sound like
Three Racing Siblings2
Scene 1

There are three words that physics teachers love and students mix up: speed, velocity, and acceleration. They sound like triplets. They are not. They are more like three siblings with very different personalities, and once you've met each one properly, you'll never confuse them again.

3Three Racing Siblings
Scene 2
Start with speed, the simplest of the three. Speed answers exactly one question: ~~how fast?~~ It's a number with a unit
Three Racing Siblings4
Scene 2

Start with speed, the simplest of the three. Speed answers exactly one question: how fast? It's a number with a unit stuck to it, like "60 kilometers per hour" or "two steps per second." That's all speed cares about. It never asks where you're going. A car doing 60 north and a car doing 60 south have the exact same speed.

5Three Racing Siblings
Scene 3
Now meet ++velocity++, _speed's slightly fussier sibling_. Velocity wants the same number โ€” how fast โ€” but it also deman
Three Racing Siblings6
Scene 3

Now meet velocity, speed's slightly fussier sibling. Velocity wants the same number โ€” how fast โ€” but it also demands one more thing: which direction. "60 kilometers per hour" is a speed. "60 kilometers per hour, heading north" is a velocity. That little tag-along direction changes everything, as you're about to see.

7Three Racing Siblings
Scene 4
~~Here's why direction matters so much.~~ Imagine our car going around a **perfectly round racetrack** at a steady 60. *
Three Racing Siblings8
Scene 4

Here's why direction matters so much. Imagine our car going around a perfectly round racetrack at a steady 60. Its speed never changes โ€” always 60, lap after lap. But its velocity changes constantly, because it's always turning to face a new direction. Same speed the whole time. Different velocity every single second.

9Three Racing Siblings
Scene 5
So whenever you hear "velocity," **picture an arrow**. *The length of the arrow is how fast*. *The way the arrow points
Three Racing Siblings10
Scene 5

So whenever you hear "velocity," picture an arrow. The length of the arrow is how fast. The way the arrow points is which direction. Speed is just the length on its own, with the arrow tossed away. Velocity keeps the whole arrow.

11Three Racing Siblings
Scene 6
Which brings us to the third sibling: ++acceleration++. **This is the one people get most wrong**, because most folks th
Three Racing Siblings12
Scene 6

Which brings us to the third sibling: acceleration. This is the one people get most wrong, because most folks think it just means "speeding up." It means something bigger. Acceleration is any change in velocity at all. Speeding up? Acceleration. Slowing down? Also acceleration. Turning a corner at a steady pace? Believe it or not, still acceleration โ€” because your direction changed.

13Three Racing Siblings
Scene 7
Think of velocity as your arrow, and acceleration as anything that **messes with that arrow**. ~~Stretch the arrow longe
Three Racing Siblings14
Scene 7

Think of velocity as your arrow, and acceleration as anything that messes with that arrow. Stretch the arrow longer โ€” that's speeding up. Shrink it โ€” slowing down. Swing it to point a new way โ€” turning. Any of those counts. If the arrow is changing, acceleration is at work.

15Three Racing Siblings
Scene 8
This is also why you can feel acceleration but never feel speed. Sit in a smooth plane cruising at **900 kilometers per
Three Racing Siblings16
Scene 8

This is also why you can feel acceleration but never feel speed. Sit in a smooth plane cruising at 900 kilometers per hour and you feel perfectly still โ€” huge speed, but nothing changing. The push you feel at takeoff, the tug as the car brakes, the lean in a sharp turn? That's acceleration grabbing you. Your body only notices when the arrow changes.

17Three Racing Siblings
Scene 9
~~So there they are~~, the three siblings, sorted at last. Speed: how fast. Velocity: how fast, and which way. Accelerat
Three Racing Siblings18
Scene 9

So there they are, the three siblings, sorted at last. Speed: how fast. Velocity: how fast, and which way. Acceleration: how the velocity is changing. One number, one arrow, and one troublemaker who keeps tugging on the arrow.

19Three Racing Siblings

~ finis ~

Tiny picture books for big little questions.

โ€” a small constellation of questions โ€”
โœฆWonderleaf
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