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Question

Question: A boy walks uniformally along the sides of a rectangular park of size 400 m× 300 m, starting from on...

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

B

His displacement is 700 m

C

His displacement is 500 m

D

His velocity is not uniform throughout the walk

Answer

His displacement is 700 m

Explanation

Solution

Displacement AC=AB+BC\overset{\rightarrow}{AC} = \overset{\rightarrow}{AB} + \overset{\rightarrow}{BC}

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

Distance =AB+BC=400+300=700m= AB + BC = 400 + 300 = 700m