"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)
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!
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.
Hey I saw you commented on my new video, I have to take it down to re-render it because my editing software made left some things out for some reason... I'll put it back up when it's done!
The interesting thing is to look at the variable you're solving for, and the variable that's missing. There are 5 variables for the equations of motion. Time, V-final, V-initial, Delta X, and Acceleration. You can make 5 equations, each one will be missing one of these variables. The first equation is missing Delta X, second is missing V-final, and the last is missing time. You can derive even further 2 more equations: One without V-initial, and one without acceleration. What this means is, for any given equation of motion, if you're trying to solve for one variable, you only need 3 others. Whichever variable you're missing, you can using the corresponding equation of motion that doesn't need that variable to solve your equation. I was taught this in my freshman physics class. It's a great exercise to try yourself, and will not only solidify those equations in your head, but it also means that as long as you have the basic equation (F=ma) you can derive any of the other ones. No memorization needed!
Aaaaaaaand 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.
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.
Jasim Al-Rufaye I really can't speak for anywhere outside of the United States, but that was about mine when I was applying to universities. Sorry I can't help more
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 ?
@@Naijiri. Sure Body having initial velocity u , final velocity v , travels for time t , acceleration a, displacement s 1st Equation: The slope of the velocity time graph gives acceleration, in the scope of these equations we only consider uniform acceleration. Therefore slope = rise/run = v-u/t a = v-u/t implying v = u + at 2nd Equation: Area under velocity time graph gives displacement, we can break the area into a rectangle and a triangle s = area(triangle) + area(rectangle) s = 1/2(v-u)t + ut s = 1/2(at squared) + ut 3rd Equation: We could break up the area into one single trapezium Therefore s = 1/2 (sum of parallel sides) height s = 1/2(v+u)t s = 1/2(v+u)(v-u)/a as = 1/2(v squared - u squared) 2as = (v squared - u squared)
"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)
Shhhhh! It's not calculus if you don't take the limit as Δt approaches zero!
Watching your vids makes me happy to be a physics major
Hunter Weber means a lot! Thank you!
@@AndrewDotsonvideos ya
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!
Probably not the most rigorous way of doing it, but it works!
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.
WAIT YOU CAN SOLVE IT WITH OUT CALCULUS?!!? why in the hell they dont teach this in high school? Good video by the way
Baashaal Baashaal I have to admit, I was surprised as well! Glad you enjoyed!
Hey I saw you commented on my new video, I have to take it down to re-render it because my editing software made left some things out for some reason... I'll put it back up when it's done!
The interesting thing is to look at the variable you're solving for, and the variable that's missing. There are 5 variables for the equations of motion. Time, V-final, V-initial, Delta X, and Acceleration. You can make 5 equations, each one will be missing one of these variables. The first equation is missing Delta X, second is missing V-final, and the last is missing time. You can derive even further 2 more equations: One without V-initial, and one without acceleration. What this means is, for any given equation of motion, if you're trying to solve for one variable, you only need 3 others. Whichever variable you're missing, you can using the corresponding equation of motion that doesn't need that variable to solve your equation. I was taught this in my freshman physics class. It's a great exercise to try yourself, and will not only solidify those equations in your head, but it also means that as long as you have the basic equation (F=ma) you can derive any of the other ones. No memorization needed!
You can solve geometrically ',alegrabically and calculascally
Rekindling my passion for physics. Thanks for that!
Keep up the good work!
Aaaaaaaand 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.
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.
What’s the use of F=ma in the first derivation? Why not just start with a=dv/dt?
I find this way cooler than with calc, because it is much more clever.
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%
Jasim Al-Rufaye I really can't speak for anywhere outside of the United States, but that was about mine when I was applying to universities. Sorry I can't help more
6:51
hello man i am indian and i could understantand your language. tell me which american publication of physic is best .
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)?
thank you soooo much this helped me a LOT!
I've always wondered how to derive them, muchas gracias :]
No hay de qué xD
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 ?
I figured out these as well, especially the last one when I just randomly plug in.
Thanks a lottttttt bro 💟❤
Your vidoes helps me a lot when i have no teacher
There's a calculus method of deriving these? My textbook showed the derivations like in your video and I am in university.
its almost identical, but delta (triangle) is represented by d (differential)
Why do we care about the average velocity for the second equation?
Excellent video! Thanks (:
I actually have a very different method of deriving these equations (non calc based).
care to explain?
@@Naijiri. Sure
Body having initial velocity u , final velocity v , travels for time t , acceleration a, displacement s
1st Equation: The slope of the velocity time graph gives acceleration, in the scope of these equations we only consider uniform acceleration.
Therefore slope = rise/run = v-u/t
a = v-u/t implying v = u + at
2nd Equation: Area under velocity time graph gives displacement, we can break the area into a rectangle and a triangle
s = area(triangle) + area(rectangle)
s = 1/2(v-u)t + ut
s = 1/2(at squared) + ut
3rd Equation: We could break up the area into one single trapezium
Therefore
s = 1/2 (sum of parallel sides) height
s = 1/2(v+u)t
s = 1/2(v+u)(v-u)/a
as = 1/2(v squared - u squared)
2as = (v squared - u squared)
Wooow that’s is geometrically 🎉🌧️☺️
This is so cool, hell yeah for math
YEAH
Thank you Mr. Dotson
Amazing.
Calculus is easy, but it is not good to calculate intuitively.
ruclips.net/video/RWMD4P7bCRE/видео.html
thank you
pogi naman nito heheeheh
❤❤❤
"denying the equations of motion." nice! 😁
Lmaoo this video was lowkey fire
We literally did these derivations in middle school