00:01
So in this problem, we have a person moving in a horseback, and we want to calculate the displacement of this person in each segment of the movement.
00:15
Okay, so the only thing we need to know to answer this question is every time we have a graph of velocity versus time, and we want to find out what is the displacement.
00:28
The displacement always going to be equal the area under the curve that we want to calculate.
00:36
So we just need to find out the area and we know the displacement.
00:42
So let's do this.
00:44
The first item is going to be the segment a.
00:48
The area under the segment a represents a triangle with dimensions 10 length and 2.
00:59
Height so okay so the area under the first segment is just the area of the triangle is going to be displacement of a is going to be 10 times 2 divided by 2 is just 10 meters so remember the area is numerically equal to the displacement.
01:40
The second segment, the segment b.
01:44
What is the area we have? we also have a triangle, but this time is a triangle this in here.
01:58
We have a triangle and a square.
02:05
This is all the area under the segment.
02:08
And the dimensions are let's see we have five in here we have two in here and we have two to six we have four in here so the displacement of the second segment is just that's calculated 5 times 2, 5 times 2 plus 4 times 5 divided by 2.
03:01
So the displacement of the segment b is just 10 plus 12 divided by 2...