00:01
So you're going to a graph of velocity versus time, and you're asked to sketch a graph of acceleration versus time.
00:07
This is also tangent to the curve.
00:10
The derivative of the function gives you the acceleration.
00:17
I put in where it's zero.
00:19
The derivative is zero at transition point, so d, e, and h.
00:23
It's positive at the beginning, but dropping down to zero.
00:27
So i'm going to pick a value here.
00:30
This is the pick right here.
00:32
So it starts at some positive value.
00:34
It goes down to zero at d.
00:36
It then rapidly transitions from a positive acceleration from zero to some positive back to zero.
00:47
So something like this, and then back to zero.
00:54
Then at e, it transitions back to a positive acceleration, but not so high a slope.
01:01
So a really slow transition, really slow acceleration, something maybe like this, back to zero, and then a really quick drop off out to l...