00:01
All right, so there's no graph provided, but i'm going to go ahead and estimate what you might, what the graph might look like.
00:08
So if i throw a ball in the air, right, then it's going to be a function of time, a function of time, or heights a function of time.
00:15
So the higher this graph goes, the higher the object went, and the longer i go across the t axis from the left to the right, the longer it was in the air.
00:23
So realistically, the ball is going to look like this, at least the graph of the height.
00:28
So this is the height of the ball at a particular time.
00:31
When i throw a ball in the air, it's going to go high, and then it's going to eventually stop as long as we don't hit the atmosphere, and it doesn't go into space.
00:38
But nobody can throw that hard.
00:39
But we're going to throw the ball in the air, and eventually it's going to reach the highest point.
00:43
The highest point we're going to say occurs here at t -0.
00:47
In particular, it occurs where the derivative of height equals zero, because the slope of the tangeline at that point is actually equal to zero...