Calculus and Physics (Basic) WORD PROBLEM Why Calculus is so POWERFUL!

[@robertjohnson4401]

Very instructive video. A point I would like to make is that you phrased the questions asking for speed. Speed will always be positive quantities. If you phrased the questions asking for velocities, then your answers are correct. Velocities are vector quantities that include magnitude and direction.

[@donmagnus9348]

These are very interesting lessons John. One problem that I would love to see explained is this: You are flying a small airplane in a bean bag drop contest. The altitude is 100'. The velocity of the airplane is 60 mph. You have to hit a barrel with the bean bag. Leaving out air resistance, etc. How far away from the barrel do you release the bean bag? I have a feeling that it is very similar with the exception of the fact that the "ball" is moving forward and not thrown up at all, just dropped. Do you think this would be an interesting video? Many years ago my brother and I did this exact contest with my airplane. We came in Third Place on one of three tries but I've always wondered if there was a formula that could have gotten us closer. Thanks, Don

[@jonnamechange6854]

Thanks for the video. I wish you would explain how the physics formula was derived, or mentioned its description so we could find it ourselves.

[@JohnBerry-q1h]

It might shed some insight to point out that instantaneous velocity at t=0 is 80 [ft/s] and the instantaneous velocity at t=2 is 16 [ft/s], and the average of 80 and 16 yields 48 [ft/s] .

[@danmike2305]

This is an excellent math video in depth, along with explaining the math. JG and you should get together. For something new.

[@bradlewis8036]

Such an awesome teaching session John. Thank you so much.

[@nonec5246]

Hey Mr. KZbin math-man, you haven't explained how you came about making your calculus equation. I would have time vs height and related it according to the American 32ft/s^2 rate of gravitational force upon the moving body. (9.8m/s^2 in Canada and Europe) So it would have basically three points of interest. the point where it leaves the precipice of the building going up at 80ft/s slowing down to a stop by the force of 32ft/s^2, then, having gained an altitude relative to that of it's initial starting point, it would travel strait to the ground, accelerating past the initial 96ft, gaining speed at 32ft/s^2 until it impacted the ground. So in brief how did you determine the time equation?

[@mahmoudalbazi4345]

Thank you so.much

[@Hornets-Panthers-Knights92]

Thanks

[@1234larry1]

I know it’s quibbling, but this is only after ignoring air resistance.

[@DCOneFourSeven]

This video more or less explains how all of video games handle their physics queries.

[@brendafulmernickel1218]

Grace certainly makes a long time short! This actually goes back over 96 ft! New Math! Restoration should have arrived before AI !!

[@gayschaye4600]

Cool

[@johnplong3644]

Ahhh yes, this brings back many happy memories.