To get an exact version, or an exact number for
Is going to represent, it's gonna be an approximationįor the distance traveled. And so the unit here is in distance, as you can see, this area Physics or even before, that if you multiply a rate times time, or a speed times a time, And so the units here wouldīe ten meters per second, times on second, or ten meters. Here, times roughly, looks like about ten meters per second. Would multiply one second, that would be the width The rectangle represent? To figure out the area we Let's make a rectangle that looks like a pretty goodĪpproximation for the area, let's say from time one to It's a little bit easier if you're dealing with rectangles. Happens before time one, if we're not concerned with that area. It won't tell us our total distance, cause we won't know what Our change in distance, from time one to time five. The area under that curve, it will actually give us Is distance per unit time, if we're able to figure out To figure out this area, then that is the change The rate function and the area, is that if we're able Ten meters per second and at time five, let'sĪssume that all of these are in seconds, so at five seconds, it is going 20 meters per second.
Rate is actually changing, this isn't distance as function of time, this is rate as a function of time. So, for example, this rate curve, this might represent a speed of a car and how a speed of a car isĬhanging with respect to time.
Intuition for rate curves and what the area underĪ rate curve represents. In a previous video we started to get an
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