Question

If a train travels 80 miles north and 60 miles east, what is the magnitude of its displacement?

Answer 1

As it's moving in North and east, forming a 90°,

The displacement will be along the hypotenuse

Displacement:

`= \sqrt{{80}^(2) + {60}^(2) }`

`= √(6400 + 3600)`

`= √(10000)`

`= 100 \: miles`

The displacement is 100 miles