Question

What is the magnitude of your displacement when you follow directions that tell you to walk 100.0m north, then 25.0m East?

Answer 1

Displacement from the starting position is 103.21m

Step-by-step explanation:

If you draw these directions, it will create the two legs of a triangle.

Using this method, you can visualize why your displacement is what it is.

Using the pythagorean theorem

`{a}^(2) + {b}^(2) = {c}^(2)`

Plug in both values

`{100m}^(2) + {25m}^(2) = {c}^(2)`

`c = √(10652)`

c = 103.2085

c= 103.21