A man walks 40m North and then 30m east with the aid of a sketch determine the man's displacement
Cannot sketch on these posts.
use the distance formula (Pythagorean Theorem)
or recall the basic 3-4-5 right triangle.
To determine the man's displacement, we need to find the straight line distance and direction from the starting point to the final point.
Let's draw a sketch to visualize the situation:
```
N
|
|
-------O (Starting point)
|
|
E
```
The man walks 40m North, so we mark a point above the starting position:
```
N
|
|
-------O (Starting point)
|
|
E
|
|
|
M (Final point)
```
Then, the man walks 30m East from this point, so we mark a point to the right:
```
N
|
|
-------O---M (Final point)
|
|
E
|
|
```
Now, we can measure the straight line distance from the starting point (O) to the final point (M) using a ruler. Let's say the distance is 50m.
We can also determine the direction of displacement by drawing an arrow from the starting point (O) to the final point (M). In this case, the arrow should be pointing diagonally northeast.
Therefore, the man's displacement is 50m in the northeast direction.