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Video udskrift What I want to do with this video is think about biokogi happens to some type of projectile, maybe a ball or rock, if I were to throw it straight up into the air. And we can distribute the one half.
That’s the time that past. Assuming that we have tidfn constant acceleration Once again we don’t have what our final velocity is. So I don’t use seconds and then sec, and then s in different places.
This is my final velocity. So this is the blue rectangle right over here.
After three seconds we will be 11 meters per second. If I said the velocity is five meters per second, that means five meters per second to the right. And now what does this simplify to? So it’s just the udgwve under this curve.
So I’ll be at tideen. The one thing I want you to realize with this video is that this is a very straight forward thing to derive. So if I were to throw something up into the air, won’t the distance change.
And if we were to calculate it it is 9. And even this will hopefully make some intuition. Or I have a constant slope here. Five plus how much faster? This is the area of that. The height here is my final velocity minus my initial velocity. Well, the area of this rectangle right here fil our initial velocity, times our change in time.
We also know the acceleration near the surface of the earth. You divide that by 2.
The acceleration due to gravity ag is negative 9. Or another way to think about it– let’s factor out this one half. It’s the arithmetic mean of these two numbers.
So if I want to see how much faster have I gone, I multiply the number of seconds– I’ll just multiply the number of seconds that go by, times my acceleration. Easy to figure out the area of a rectangle.
But the only reason why I can just take the starting velocity and the ending velocity and, adding them together, and then divide by two. Remember that little g tli there is all of these terms combined.
Right now we have something in terms of time, distance, and average velocity but not in terms of initial velocity and acceleration. We factored the delta t’s out.
We are going to leave it right over here. So let’s just start with a simple example. And I take that as the average velocity, is because my acceleration is constant.