1. Anthony walks to the pizza place for lunch. He walks 1km east then 1km south east again.

What distance did he cover? What was his displacement

The answer is: distance is 3 km, displacement is 2.24 km.

Distance is total length: 1 km east + 1 km south + 1 km east again = 3 km

Displacement is the hypotenuse of the right triangles which sides are 1 km east and 2 km south. According to the Pythagorean theorem:

a² + b² = c²

1² + 2² = c²

1 + 4 = c²

5 = c²

c = √5

c = 2.24 km