How to Derive the Equations of Motion (without Calculus)

This is the algebra based derivation of the linear equations of motion. This derivation ended up being much simpler than I had thought, and I hope you find it helpful! I'm still getting use to my new microphone, so I hope the sound is clear.

[legoblox]

"we gonna do it without calculus"

1st step is literally writing a=dv/dt but with delta instead of d

kidding, I wish they showed this in my highschool physics class (tho since i'm in calc right now the video you made using calculus was really cool)

[masterx]

Wow! It’s really amazing how you represent differentials by deltas and then proceeded to derive the equations with only averages but still be on point!

[hunterweber]

Watching your vids makes me happy to be a physics major

[tmann]

about 4 years late haha I'm in my first physics class and we were learning how to do this with geometry and the motion graphs. I'll get my imposter syndrome but when I hear you tell me "whats up smart ppl!" It really means a lot. I get pretty stressed over my calc, physics with my programming this semester. Its great to see guys like you who love this as much as i do. Thank you Andrew.

[MichaCnk]

Rekindling my passion for physics. Thanks for that!
Keep up the good work!

[baashaalbaashaal]

WAIT YOU CAN SOLVE IT WITH OUT CALCULUS?!!? why in the hell they dont teach this in high school? Good video by the way

[bowenchamp]

my lecturer took an hour to badly explain what this hero right here took less than 8 minutes to perfectly explain. Guess who is never going to physics lectures again.

[cerwe]

If you plug the expression for V_i from the first equation in the last equation you can also recover the second equation if you solve for ∆x.
If you set equation 2 in the ∆x from equation 3 you can solve for V_f and get equation 1.

[jasmal]

do you think it's hard to get accept into physics because I am planning to apply for physics degree next year and my average mark usually around 80%

[janda]

What’s the use of F=ma in the first derivation? Why not just start with a=dv/dt?

[cerwe]

I find this way cooler than with calc, because it is much more clever.

[armandol]

Can you make a video on the physics aspect of black and white? For instance, which color is better to wear during the warmer seasons (summer)?

[chandler]

Thanks a bro 💟❤
Your vidoes helps me a lot when i have no teacher

[raushanraushan]

hello man i am indian and i could understantand your language. tell me which american publication of physic is best .

[kevenjimenez]

I've always wondered how to derive them, muchas gracias :]

[lizzc]

thank you soooo much this helped me a LOT!

[KhoaNguyen-oszv]

I figured out these as well, especially the last one when I just randomly plug in.

[student]

There's a calculus method of deriving these? My textbook showed the derivations like in your video and I am in university.

[TU-qcxr]

he had me until he got to redistributing the t in in vi =a*t /2 i see the two cancel out the two so you get vi+ at=delta x /t

but i dont get when he redistributes the t to 1/2 a*t2? ca someone write out longer format for me ?

[viradeus]

Why do we care about the average velocity for the second equation?