00:01
In this problem, we have been given that there is a delivery boy who is starting at the post office and drives in north, south, east and west direction.
00:10
So first, let's make the direction reference here.
00:13
And let's consider the east direction as the direction along x -axis and will represent its direction using i -cap.
00:21
And let's consider north direction as the direction along positive y direction.
00:26
So we'll consider that as j -cap here.
00:28
So it stated that the delivery boy, it starts from the post office.
00:33
So let's consider the post office at the origin here.
00:36
And first he drives a distance of 40 kilometers along the north direction.
00:40
So let's consider this displacement as s1 and that can be written as 40 j cap.
00:47
And after that he drives 20 kilometers in the west direction.
00:51
So let's denote it with s2 here and that s2 will be minus 20 icap indicating the direction.
00:58
Along negative x -axis and then he drives a distance of 60 kilometers in the northeast direction.
01:06
So this is the northeast direction which is making an angle of 45 degree.
01:10
So first we will project this displacement of 60 kilometers along the x and the positive y direction.
01:18
So let's represent this displacement using s3 so we can represent s3 as 60 cost 45 and 60 sign 45 which will be 60 by root 2 along icap plus 60 by root 2 along j cap...