00:01
For this problem, we are given the velocity graph of a braking car shown here.
00:05
We're then asked to use this to estimate the distance traveled by the car while the brakes are applied.
00:12
So what i'll do, now because this is a problem that will rely a lot on sort of manual calculation, i'm going to be automating this using wolfram mathematica.
00:21
But first, i'll create a list of values.
00:24
Effectively, what i'll be doing is splitting this up into, now, we're not told explicitly how many subintervals to split this up into, but for the sake of initial first run, we'll say that we're splitting this up into six equal sub intervals.
00:40
So each one has a delta t of one, sort of making everything easy to deal with.
00:45
So first, i'll create a list where i'll just take the value of v at each, at sort of each integer value of t.
00:54
So we'd have our initial value of v that looks to be about, 50, or not 50, excuse me, about 70.
01:01
Then we have about 40, i'd say about 47, maybe 47 .5.
01:10
Or excuse me, actually.
01:12
Yeah, actually, i'll stick with 47 .5.
01:14
It's almost midway between 40 and 60, but it's not quite midway.
01:18
So i'll say that that's about 47 .5...