Question

A rectangular track is 40m long and 30m broad. A man starts walking from one corner of the track and reaches the opposite corner. Find the distance travelled and the magnitude of displacement

Answer 1

$\mathcal{\huge{\underline{\green{AnSwEr:-}}}}$

➡ The distance travelled is 70 m and the magnitude of displacement is 50 m.

$\mathcal{\huge{\fbox{\purple{Solution:-}}}}$

According to the question,

• Length of the rectangular track = 40 meter;
• Breadth of the rectangular track = 30 meter;

Total distance travelled by the man = Length + Breadth

▶Distance = 40 + 30

▶Distance = 70 meter

Now,

Displacement by man , by using pythagorous theorem .

↗(Displacement)² = length² + breadth²

↗(D)² = 40² + 30²

↗(D)² = 1600 + 900

↗(D)² = 2500

↗(D) = √2500

↗ D = 50 meter

➡Distance covered by the man = 70 m,

➡Displacement by the man = 50 m