Marco walks 13.7m east to his friend pauls house then they walk 23.6m north to Alberta house. What is the magnitude of marcos total displacement
Answer (1)
Answer:Given:East displacement (Δx) = 13.7 mNorth displacement (Δy) = 23.6 mTotal displacement (Δr) = √(Δx² + Δy²)= √(13.7² + 23.6²)= √(187.69 + 557.96)= √745.65≈ 27.3 mMarco's total displacement is approximately 27.3 meters in the northeast direction.Note: Displacement is a vector quantity, so direction matters. The resultant vector points northeast, but the exact angle can be calculated using trigonometry:tan(θ) = Δy / Δxθ ≈ arctan(23.6 / 13.7) ≈ 60.3° north of east[tex].[/tex]
