A boy walks uniformally along the sides of a rectangular park of size $400 m \times 300 m$ , starting from one corner to the other corner diagonally opposite. Which of the following statements is incorrect.

He has travelled a distance of 700 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

His displacement is 700 m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

His displacement is 500 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

His velocity is not uniform throughout the walk.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B His displacement is 700 m
Displacement $- - \to A C = - - \to A B + - - \to B C$
$A C = \sqrt{(A B)^{2} + (B C)^{2}} = \sqrt{(400)^{2} + (300)^{2}} = 500 m$
Distance $= A B + B C = 400 + 300 = 700 m$

Suggest Corrections

Similar questions

Q. A boy walks uniformally along the sides of a rectangular park of size 400 m

\times

300 m, starting from one corner to the other corner diagonally opposite. Which of the following statement is incorrect

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

Q. A room has dimensions

3 m \times 4 m \times 5 m

. A fly starting at one corner ends up at diagonally opposite corner.
(i) what is the magnitude of its displacement?
(ii) If the fly does not fly but walks, what is the length of the shortest path it can take.?

Q. A man usually gets from one corner of a square lot to the opposite corner by walking along two of the sides. Approximately what percent of the distance does he save if he walks along the diagonal?

A rectangular field is of 80 meters long and 60 meters wide. A man walked from one corner of the field to the opposite corner along the boundary of the field. Another man crossed the field diagonally to reach the opposite corner. Who walked more? How much more?

Join BYJU'S Learning Program

A boy walks uniformally along the sides of a rectangular park of size 400m×300m, starting from one corner to the other corner diagonally opposite. Which of the following statements is incorrect.

The correct option is B His displacement is 700 mDisplacement −−→AC=−−→AB+−−→BCAC=√(AB)2+(BC)2=√(400)2+(300)2=500 mDistance =AB+BC=400+300=700 m

A boy walks uniformally along the sides of a rectangular park of size $400 m \times 300 m$ , starting from one corner to the other corner diagonally opposite. Which of the following statements is incorrect.

The correct option is B His displacement is 700 m
Displacement $- - \to A C = - - \to A B + - - \to B C$
$A C = \sqrt{(A B)^{2} + (B C)^{2}} = \sqrt{(400)^{2} + (300)^{2}} = 500 m$
Distance $= A B + B C = 400 + 300 = 700 m$