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Finally, over a year after I first drafted the script, I've finished part 3 in the series on calculus and bad driving!

This was not an easy one, in terms of figuring out how to represent all the slopes and things going on at the same time while telling a story and balancing all the things going on, but the result is much better than my previous drafts, lemme tell you.

Two videos released in one month! Going from a decent draft script to a finished video is much faster than going from an idea to a draft script. And being third in a series helps.  Here's the previous two:

The Calculus of Bad Driving: https://www.youtube.com/watch?v=pI62ANEGK6Q

The Case for Hovercars: https://www.youtube.com/watch?v=3zQsYJi5pFE

What's next? Well, I'd like to put some time into Project Butterfly, though I expect that'll be ongoing for months. And I have more ideas in the calculus series I'm going to spend some time fleshing out to see what sticks, and also I'd like to do a holiday themed math improv in December...

The very next thing on my list, though, is to go collect a pile of Amazon Wish List packages tomorrow! And then set up my new equipment and be warm with my new warms and art with my new arts and Dogget gets to be warm too! 

I'm actually quite amazed how many people hopped on board, not just for things directly related to video production but also random things I need. Now I've got enough in the budget to buy my truck some badly-needed new tires before winter starts in earnest... more slope points for my deceleration :D

Files

The Smoothest Ride

Next action star, right here. Supported by my Patreons, especially Caleb Wright, Albert Wenger, Jeremy Buchanan, Pat Devlin, Jack Heidrick, David Perryman, Wish Society, Carol Ghiorsi Hart, Chris Pierik, Andrea Di Biagio, Charley Sheets, Jodi Vezzetti, Andew Romaner, Yoni Nazarathy, Michael Tiemann, and Yana Chernobilsky. More thanks: http://vihart.com/thanks Join us: https://www.patreon.com/vihart The Calculus of Bad Driving: https://www.youtube.com/watch?v=pI62ANEGK6Q The Case for Hovercars: https://www.youtube.com/watch?v=3zQsYJi5pFE My website: http://vihart.com

Comments

Perryman

I like the random nomenclature of things. For example, the first integral with respect to time of position is called absement, and a guy named Steve Mann invented a musical instrument called a hydraulophone that responds to absement! Yay, nomenclatures!

Vincent Zalzal

I am so glad to see that the Patreon adventure is looking good, and so happy to see you back on YouTube! Since you are talking about calculus, it would be so cool to do some collaboration with 3blue1brown. I am sure you could work out something pretty interesting :) Unfortunately, his series on calculus is already done though :(

vihart

Yes! I may get to absement in the video series eventually, not sure though. I have pictures somewhere of me and Steve playing hydraulophone together...

Randal Moore

You are a wonderful mind bender. I have too many thoughts at once and then some jerk tailgates me and i have to start your video over again before I can say anything intelligent. So I slowed down your video to .5 (with just a slight jerk) and then I can follow you perfectly but your voice is slowed down to a drunk voice---(and i could not stop laughing--everyone MUST hear Vi's .5 youtube speed drunk voice! Slowing down and speeding up your video. Calculus.

vihart

Yes! Grant is a pretty cool person, maybe someday...

Rajat Tibrewal

This convinced me that self-driving cars need to happen asap! PS: I am not very fond of driving.

Rajat Tibrewal

Yes, literally what crossed my mind as I was watching Grant's videos! Really hope that the collab happens. Both of you have fairly dissimilar styles, and a mashup would be something special.

Randal Moore

Chloe is not this far in math so we just discussed the basics because she was asking--Vi has a lot of words here but no numbers. I told her that you are explaining the instantaneous rate of change. So she understands why you are using a car as a good example. So you have her approval. And once again you have her smiling. It's so good to see her smile again.

vihart

That's a neat connection! Glad you like my decelerated self ;D

David Thornley

I love your videos! Unsolicited advice coming up... Please don't burn yourself out. If you're not familiar with it and not thinking about how to recognise that setting in, you can probably find folk to discuss their experiences. I've only seen one youtuber talk about it - Draw with Jezza. I'd offer, but I'm just some random bloke on the internet that you don't know. End of unsolicited advice.

Jim Meyer

Yay, more Vi Hart videos!

Jim Meyer

Just had a thought, more for some enterprising person here than necessarily for Vi: Has anyone considered curating a set of Khan Academy math videos together with Vi Hart videos into a loose curriculum? Seems like it would be an amazing combo.

Kenny Tilton

Ha! My old man complained I was not a smooth stick shifter because he got thrown forward when I hit the clutch, momentarily losing the accelerative force (which was substantial because I was pedal-to-the-metal driver). The factor you did not mention is that during acceleration we apply a forward force to keep our heads from being thrown back, and that force is still in play when I hit the clutch. I was largely unaffected because I knew the moment I was hitting the clutch, but he got a jerk from the third derivative going unexpectedly to zero. I tried to explain to Pops that there was no way for me to shift without him doing a convincing imitation of me hitting the brakes, but I needed this video!

Jacob Wick

Speaking of math and tailgating, math will prove that enough tailgating can fix traffic jams. Traffic jams happen when the number of cars on a road is greater than the flow capacity. The flow capacity is equal to the average speed of the cars divided by the average spacing of the cars (miles/hour / miles/car = cars/hour), so if you reduce the distance between cars (tailgate) the flow increases, traffic congestion decreases, and math solves all the problems.

Natesh Subhedar

The first thing that came to mind was "Physics" and not calculus, as I am doing Master's in Physics. How cool is this! and you have not used equations!! Keep them coming .I like to imagine if you were into physics , as much as you are into Maths, how would you doodle or maybe do videos on 'backyard physics' :)

Daniel Barkalow

One time, my aunt was trying to open something by pulling on it quite hard. When that didn't work, my father went over and opened it right up with barely any effort. My aunt wanted to know why she hadn't been able to do it, to which my grandmother replied, "It takes a jerk to do it." My father claims she meant the third derivative of position.

vihart

Been there done that! Trying to be more sustainable this time around.