Quote:
Originally Posted by Luke Pike
I was just excited that something I was learning in calculus could be applied to something I've been meaning to try in robotics!
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For me, not being shown practical applications for all that math was the most frustrating part of learning it.
Distance is measured in meters
Speed is measured in meters per second
Acceleration is measure din meters per second, per second (m/s2)
The relationship between these three physical values can be found through calculus. A derivative is dX/dt, right? what do you think that "t" is for? Yes, it is TIME.
The slope of the 'distance versus time' curve is speed.
The slope of the 'speed versus time' curve is acceleration.
>>The derivative of the curve gives us the slope.
The area under the 'acceleration versus time' curve gives us the speed
The area under the 'speed versus time' curve gives us the distance
>>The integral of the curve gives us the area under the curve.
Ain't calculus fun?
Now think of how darned smart the guys who figured all this out must have been...