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this post was submitted on 11 May 2024
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This is like the lava and red goo thing
Speed and velocity are not the same thing.
https://www.britannica.com/story/whats-the-difference-between-speed-and-velocity#:~:text=Speed%20is%20the%20time%20rate,while%20velocity%20is%20a%20vector.
In case you aren't joking, I believe the relevant statement is that acceleration and "a change in velocity over time" are the same thing.
If you imagine driving a car forward in a straight line, pressing the gas will make you accelerate (velocity becomes more forward). Pressing the brake will also make you accelerate (velocity becomes less forward). Turning the steering wheel will also make you accelerate (velocity points more to the left/more to the right).
While I'm at it, you can do physics computations in a rotating frame of reference, but it produces some fictious forces, and gets really wacky quickly. An easy example is that anything far enough away from the axis of rotation is moving faster than the speed of light.
We know, but also neither are acceleration and the magnitude of acceleration the same. Acceleration is a vector - it has a direction just as velocity does. Here's the definition I just copied from Google:
And here's how you write that in math:
If you want to know more about the relationships between position, velocity, and acceleration, take a calculus class. Isaac Newton literally invented it to solve problems like this