Question

A person travels towards North by 4 m and then turns to West and travels by 3 m. The distance and displacements from initial point are

• A. 7 m and 1 m
• B. 7 m and 7 m
• C. 5 m and 7 m
• D. 7 m and 5 m

Hint:

For displacement, use the Pythagorean theorem when the path is at a right angle.

Answer 1

The Correct Option is D

The total distance traveled is simply the sum of the two legs of the journey: \[ \text{Distance} = 4 \, \text{m} + 3 \, \text{m} = 7 \, \text{m} \] The displacement is the straight-line distance from the initial to the final point. This can be calculated using the Pythagorean theorem: \[ \text{Displacement} = \sqrt{4^2 + 3^2} = \sqrt{16 + 9} = 5 \, \text{m} \] Thus, the correct answer is 7 m and 5 m.