Answer:
Displacement = 100 meter
Distance covered = 180 meter.
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 = [tex]\sqrt{(-80)^2+60^2} =100 meter[/tex]
Distance traveled by Carl = 100 + 60 + 20 = 180 m ( Scalar)
