Question

Carl runs 100m west he then runs 60m north he then runs 20m east the total distance traveled by Carl is ______m and his total displacement is ____m.

Answer 1

Displacement = 100 meter

Distance covered = 180 meter.

Step-by-step explanation:

Let east represents positive x- axis and north represent positive y - axis. Horizontal component is i and vertical component is j.

Carl runs 100 m West, Displacement = -100 i

He then runs 60 m North, Displacement = 60 j

He then runs 20 m East, Displacement = 20 i

Total displacement of Carl's running = -100 i + 60 j + 20 i = (-80 i + 60 j) m (Vector)

Magnitude of displacement =
`√((-80)^2+60^2) =100 meter`

Distance traveled by Carl = 100 + 60 + 20 = 180 m ( Scalar)