Question

If a car travels 10 km north and then 10 km west, what is the MAGNITUDE of
displacement?

Answer 1

The magnitude of the displacement is
`H = 14.14 \ km`

Step-by-step explanation:

From the question we are told that

The distance of the car to north is d = 10 km

The distance of car to the west is w = - 10 \ km

The negative sign is because the direction is west

Generally applying Pythagoras theorem , the displacement is

`H = √(d^2 + w^2)`

=>
`H = √((10)^2 + (-10)^2)`

=>
`H = 14.14 \ km`