Vectors Question 109

Question: 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

[HP PMT 1999]

Options:

A) He has travelled a distance of 700 m

B) His displacement is 700 m

C) His displacement is 500 m

D) His velocity is not uniform throughout the walk

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Answer:

Correct Answer: B

Solution:

Displacement $ \overrightarrow{AC}=\overrightarrow{AB}+\overrightarrow{BC} $

$ AC=\sqrt{{{(AB)}^{2}}+{{(BC)}^{2}}}=\sqrt{{{(400)}^{2}}+{{(300)}^{2}}}=500m $ Distance $ =AB+BC=400+300=700m $