00:01
Alright, in your question, you're told that we have this function f of t, which represents the distance from a starting point at time t.
00:15
Then we're shown these graphs, and these graphs are supposed to be f prime of t, but they don't tell you what f prime of t represents.
00:25
Well, f prime of t would be a rate of change of distance.
00:29
You can think of that as velocity or in this case since we're looking like we're constantly moving further away our velocities are always positive you can think of this as speed and that's probably going to be the easiest way to think about this scenario so what we're trying to do we have three different scenarios and we're trying to match which graph of the speed speed of these vehicles seems to match the graph.
01:07
So in this first scenario, a bus on a popular route with no traffic.
01:14
So a bus would make stops if it's on a popular route.
01:18
And it looks like this graph too has stops in these two locations.
01:24
That would be the speed is zero.
01:26
That's what the graph is telling you.
01:28
Speed is zero at that time.
01:30
And in between there, it seems like the bus steadily accelerates or has its speed keeps getting higher and then it starts to slow down for its stop it stops then it speeds back up and there's nothing causing the speed to change between the stops because there is no traffic so it looks to me like scenario a is graph 2 in part b we have a car that's not doesn't have any traffic to deal with, and hits all green lights.
02:05
So what we see here in graph one is a vehicle increasing its speed up to a certain point and then pretty much leveling out and staying at the same speed...