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Gennemsnitlig hastighed for konstant acceleration. We factored the delta t’s out. So my final velocity is going to be right over there. Then that helps us figure out the force when you multiply mass times g. The rock will have an initial velocity Vi of And just to make it clear with the numbers, these numbers really could be anything, I’m just picking these to make it concrete in your mind.
And this tells us the distance. And so I’m going to define this as something new. So this is my velocity viologi and this over here is my time axis.
So let’s draw ourselves a little bit of a diagram here. Your average velocity is 9 meters per second, if you take the average of 13 and 5. We factored this out. Well there’s biilogi things. So I’ll be at seven. What are the kinematic formulas? So times one half.
The force of gravity changes a little bit, but for the sake of throwing things up into our atmosphere we can assume that it is constant. Afbildning af projektilposition, acceleration og hastighed. You divide that by 2.
Gennemsnitlig hastighed for konstant acceleration
It is eight meters per second. So this is the one half. Afbildning af projektilposition, acceleration og hastighed. And you can pause and think about yourself.
So anything minus half of it, you’re just going to have a positive half left. So it’s going to be plus, one half times v f, times our final velocity. Because it’s two meters per second, per second.
So hopefully that doesn’t confuse you. Because this blue area is how far would we have traveled if we were not accelerating. So one, two, three, four. The distance we traveled is equal to one half of the initial velocity plus the final velocity. And I want to take a pause here. And once again, I am specifying both the magnitude and the direction. Right now we have something in terms of time, distance, and average velocity but not in terms of initial velocity and acceleration.
Gennemsnitlig hastighed for konstant acceleration (video) | Khan Academy
Remember that little g over there is all of these terms combined. So your initial velocity. Or another way to think about it, is the slope of this velocity line is my constant acceleration.
Minus one half times our initial velocity. Well actually I want to plot displacement over time because that will be more interesting. I can draw a straighter line than that. And we don’t just multiply tden base times the height. Deriving max projectile displacement given time.