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3.1 vectors — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics3.1 vectors1 Mark
MCQ
A boy walks uniformally along the sides of a rectangular park of size $400\, m × 300\, m$, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect
  • A
    He has travelled a distance of $700\, m$
  • ✓
    His displacement is $700 \,m$
  • C
    His displacement is $500\, m$
  • D
    His velocity is not uniform throughout the walk
✓

Answer

Correct option: B.
His displacement is $700 \,m$
b
(b) Displacement $\overrightarrow {AC} = \overrightarrow {AB} + \overrightarrow {BC} $

$AC = \sqrt {{{(AB)}^2} + {{(BC)}^2}} = \sqrt {{{(400)}^2} + {{(300)}^2}} = 500m$

Distance $ = AB + BC = 400 + 300 = 700\,m$

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