02 - Equations of Motion with Constant Acceleration (Velocity, Position, Acceleration)

[@tactical_asterisk]

you know you are a good teacher when people want to learn from you not because of a coming exam

[@MathAndScience]

Thank you so very much!!

[@P3N1SLUVR]

Seriously, thank you for giving us this knowledge for free.

[@sands_of_time12]

doing a great service for humanity, the curious, and the ones who never get time to understand but have the potential, your a great help. Prof can i get some way of contacting you and asking questions from time to time

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incredible! one of the best teachers I've ever learnt from

[@loosinator]

Cool

[@specialbaird]

Learnt is not a word. At least not to Americans. Only to British who don't know English.

[@loosinator]

@@specialbaird ? English is English.

[@specialbaird]

@@loosinator No it's not. You can look it up. English teachers in the US will tell you that learnt is not a word. It's just not proper English.

[@loosinator]

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Been retired from engineering for 10 years and I just love this guys approach; my high school classes were so "bland", "matter of fact", Math and science depts didn't talk to each other.. WOW I watch these all the time and tie into MIT's Open Course Ware classes free online actual classes; they should hire him.. THANKS

[@breadngrove5124]

You just saved me from a world of hurt.. how you explain the equations was perfect !

[@BOOSSHH]

Thank you for the explanation. Will make my notes a lot easier to understand when i come back to them in the future, covered a lot of parts that my teacher glossed over 👌🏻

[@neznan1706]

Have been searching for this exact lesson for a while. Thank you for helping me out!

[@amoskittah3926]

You can also use the equation of a triangle = 1/2 (bh) to find the additional distance travelled. Where b = at and h=t thus you end up with 1/2 (at²).

[@wellydave137]

You will go down in history as the best teacher of our time.

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He is the best teacher I’ve ever seen!!! Thank you!!!

[@michaelemmanuel5473]

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[@abirfarah2711]

Amazing explanation ,you are one of the greatest teachers ever . thank you for your efforts .

[@salmannadeem2827]

Can't thank you enough for this video! It literally helped me more than you think!

[@mego2185]

Very good explanation sir. There is also another way to visualize the distance function from calculus, which is; Since the velocity is the derivative of distance in respect to time, then that means if we take the integration of velocity in an interval of time, we can get the distance traveled (in that interval). This integration is equal to the area under that graph ‏‪15:56‬‏ from V0 to V and from 0 to t, which is a traingle So the area of that traingle is ofc 1/2 (delta V)*(t) = 1/2(at)(t) = 1/2(at^2), this is ofc the distance traveled in that interval of time only If you want the total distance, ofcourse, you should include the distance of the rectangle down there too, with width V0 and length t So Total d = V0t + 1/2(at^2). That is only another way to visualize the distance function that i prefer.

[@theanimationlads7598]

This man is a very good teacher, and helped me understand all this

[@luwluwstarshyne]

Ive always wanted to innerstand this but could not find such explanation thank you so much Mister.😌💙

[@kitalexander2582]

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[@chilandapretty-rd7zg]

You're highly blessed Jason 👏👏

[@davidogbija5806]

You are an amazing teacher: nice learning from you. Thanks 👍

[@JBond-zf4dj]

Thank you, again. You're definitely underpaid. I'm 43, taking Environmental Engineering and managed to avoid physics in school - ever - up until now. You are saving my sanity...and my marks. I love math, but I'm horrible at second guessing what these riddles are asking sometimes. Turns out, you've now provided the cipher I've needed to unlock most of it. 🤯

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[@ahmedtaher6838]

Dr Ahmed from sudan Am a physicist thank you so much

[@serahaipinge5982]

You are a great teacher,,, your explanation is clean

[@mohammedalshehri6647]

Man now all of these equations make sense, I was applying them blindly!

[@yormanvillatoro5872]

great video, you explain it really well!

[@tresajessygeorge210]

It is very good that you explain what the equations mean...!!! THANK YOU... SIR...!!!

[@markrosal391]

You are a legendary genuis teacher!

[@andrewjustin256]

Mr. Jason, I would like to ask why do we need average velocity, not final velocity in second equation of motion? Or we could have left the 1/2 part once and for all?

[@williamwelmans8648]

Excellent teaching! Thanks!

[@alshookryalsir4707]

Thanks for this gorgeous ❤️ explanation

[@Dr.SahadevRoy]

Thank you professor

[@MelinaBanda-ek9tn]

You're a good tutor

[@jesussaquin6266]

these guys are saving my grades in uni

[@andrewjustin256]

And can I use all three equations to find the unknown thing like acceleration?

[@abdulhadialdahan1328]

Thank you, this is very helpful

[@thisismidas5023]

Im not native in English but I learned everything amazing explanation !🙌❤

[@rll1993]

lucky to have some1 like you on earth !!

[@Artem-te1xn]

How does this only have 17K views

[@MathAndScience]

Thank you and share it with friends!

[@frankdimeglio8216]

@@MathAndScience WHY THE THEORETICAL, CLEAR, AND BALANCED MATHEMATICAL PROOF THAT E=MC2 IS F=MA ESTABLISHES GRAVITY AS ELECTROMAGNETISM/ENERGY: TIME is NECESSARILY possible/potential AND actual IN BALANCE, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/energy is gravity. Gravity IS ELECTROMAGNETISM/energy. E=MC2 IS F=ma. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, AS ELECTROMAGNETISM/energy is gravity. Gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/energy !!! ("Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/energy is gravity. E=MC2 IS F=ma.) TIME DILATION ultimately proves ON BALANCE that E=MC2 IS F=ma (ON BALANCE), AS ELECTROMAGNETISM/energy is gravity. The stars AND PLANETS are POINTS in the night sky. (Energy has/involves GRAVITY, AND ENERGY has/involves inertia/INERTIAL RESISTANCE.) The sky is blue, AND THE EARTH is ALSO BLUE. Again, the stars AND PLANETS are POINTS in the night sky. E=MC2 IS F=ma ON BALANCE. BALANCE AND completeness go hand in hand. The ultimate mathematical unification (AND UNDERSTANDING) of physics/physical experience combines, BALANCES, AND INCLUDES opposites. GRAVITATIONAL force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/energy. ("Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/energy is gravity ON BALANCE. E=MC2 IS F=MA ON BALANCE !!!) Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, AS ELECTROMAGNETISM/energy is gravity ON BALANCE; AS E=MC2 IS F=ma ON BALANCE !!! "Mass"/ENERGY involves BALANCED inertia/INERTIAL RESISTANCE consistent WITH/as what is BALANCED electromagnetic/gravitational force/ENERGY, AS E=MC2 IS F=MA ON BALANCE !!!; AS ELECTROMAGNETISM/energy is gravity. It all CLEARLY makes perfect sense. By Frank DiMeglio

[@tresajessygeorge210]

THANK YOU... SIR...!!!

[@noohalfaqeeh6894]

very nice explaination

[@honestman276]

Thanks. From Bangladesh.

[@khaledalromih]

But why do we use the overall time times velocity in the first part of the postion equation when velocity isn't constant during the overall time???

[@carultch]

Because the 1/2 term ends up accounting for that. We only get to do that when acceleration is constant. If acceleration isn't constant, this would be a calculus problem to find the total displacement given the velocity vs time function. Ultimately, we want the area under the v vs t plot, in order to get the displacement. When acceleration is constant, this plot takes the shape of a straight line, and the area under the plot is either a trapezoid with heights v1 and v2, and base equal to t, or in the special case of starting at rest, it is a triangle with height equal to v2 (since v1=0). Area of the trapezoid is 1/2*(v1+v2)*t, and area of the triangle is the special case that v1=0, which gives us 1/2*v2*t. And since v2 = v1+a*t, this gives us 1/2*a*t^2 + v1*t in the general case, or 1/2*a*t^2 in the special case of starting from rest.

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[@Cursive_Lines]

Thaank you sir !

[@babyrosemasayon2125]

sir why do you cancel the squared not the second? just a student here want to learn more. Thank you

[@carultch]

The squared on the seconds downstairs in the units, means that you have two copies of the seconds unit in the denominator. Multiplying by another term with units of seconds upstairs, will only cancel one of these seconds. We end up being left with a single copy of seconds in the denominator. You can cancel the squared, when you multiply 1/x^2 * x. Because what you really are doing, is rewriting 1/x^2 as 1/(x*x), from which we cancel one of the x's with the x by which we are multiplying. But if you cancelled the x and left the squared upon simplifying 1/x^2 * x, you'll end up with 1/^2, which doesn't mean anything, since there's no base of the power term.

[@johnnywolinski8639]

THANK YOU SO MUCH HERO

[@there4ldonnie]

thank you

[@andrewjustin256]

And my second question is why do we have 2ax, simply 2, in third equation of motion instead of 1/2?

[@Urawizardharryy]

thank you so much!!

[@user-yh9ek9gy4i]

THANK YOU!!!

[@savortheflavor1]

Thank you so much sir

[@kukubuss8725]

Why don't we use the term median instead of average in this case? The median is calculated by taking the “middle” value

[@carultch]

Because a median ignores the distribution of data on each side. For concepts in kinematics involving averages, you need to account for the full distribution of what you are averaging, because otherwise crucial information will be ignored. Technically, the median of two numbers is identical to the average of two numbers, but that is just because we define medians by averaging the middle two numbers in the case of an even number of items in the list. We care about the average speed along the entire interval, when we want to get the corresponding total distance travelled.

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[@MathAndScience]

Thanks so much.

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thank you!

[@much_tunsia]

Respect

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[@MathAndScience]

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[@sowelie1]

i'm coming back to this after 35 years to help my kid

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[@MathAndScience]

Thank you so much!

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[@frankdimeglio8216]

@@greggaygayakutami1402 WHY THE THEORETICAL, CLEAR, AND BALANCED MATHEMATICAL PROOF THAT E=MC2 IS F=MA ESTABLISHES GRAVITY AS ELECTROMAGNETISM/ENERGY: TIME is NECESSARILY possible/potential AND actual IN BALANCE, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/energy is gravity. Gravity IS ELECTROMAGNETISM/energy. E=MC2 IS F=ma. This NECESSARILY represents, INVOLVES, AND DESCRIBES what is possible/potential AND actual IN BALANCE, AS ELECTROMAGNETISM/energy is gravity. Gravity AND ELECTROMAGNETISM/energy are linked AND BALANCED opposites, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/energy !!! ("Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/energy is gravity. E=MC2 IS F=ma.) TIME DILATION ultimately proves ON BALANCE that E=MC2 IS F=ma (ON BALANCE), AS ELECTROMAGNETISM/energy is gravity. The stars AND PLANETS are POINTS in the night sky. (Energy has/involves GRAVITY, AND ENERGY has/involves inertia/INERTIAL RESISTANCE.) The sky is blue, AND THE EARTH is ALSO BLUE. Again, the stars AND PLANETS are POINTS in the night sky. E=MC2 IS F=ma ON BALANCE. BALANCE AND completeness go hand in hand. The ultimate mathematical unification (AND UNDERSTANDING) of physics/physical experience combines, BALANCES, AND INCLUDES opposites. GRAVITATIONAL force/ENERGY IS proportional to (or BALANCED with/as) inertia/INERTIAL RESISTANCE, AS E=MC2 IS F=ma ON BALANCE; AS ELECTROMAGNETISM/ENERGY IS GRAVITY. Gravity IS ELECTROMAGNETISM/energy. ("Mass"/ENERGY IS GRAVITY. ELECTROMAGNETISM/energy is gravity ON BALANCE. E=MC2 IS F=MA ON BALANCE !!!) Gravity/acceleration involves BALANCED inertia/INERTIAL RESISTANCE, AS ELECTROMAGNETISM/energy is gravity ON BALANCE; AS E=MC2 IS F=ma ON BALANCE !!! "Mass"/ENERGY involves BALANCED inertia/INERTIAL RESISTANCE consistent WITH/as what is BALANCED electromagnetic/gravitational force/ENERGY, AS E=MC2 IS F=MA ON BALANCE !!!; AS ELECTROMAGNETISM/energy is gravity. It all CLEARLY makes perfect sense. By Frank DiMeglio

[@loosinator]

Cool

[@wiracendekia]

Cool!

[@drball2558]

Hey master thanks once again but I been knew what

[@MScienceCat2851]

I still do not understand :( so, if I have a car going at constant acceleration, lets say 1 meter per second, and is accelerating for 4 second: d = v *1 + v*2 + v*3 + v*3 = 10 but I dont understand the equation, 1/2at² I mean sure, acceleration times time is velocity, times time we get distance, but we were accelerating and our velocity was changing the whole time, so I know that, but I couldnt understand why 1/2, know its average does not help. Lets say object got to 5 meter per second, in 1 second, distance would be 2.5 meters per second.

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Thank you.

[@MathAndScience]

You're welcome!

[@Lyricashmyrica]

But wait, you explained where 1/2 came from but not the 2 😩

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Khan Academy disliked this video.

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[@loosinator]

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