Question

A person walks 3 miles north, turns, and walks 2 miles east. Calculate the person’s distance traveled and their displacement.

Answer 1

Answer:

the person traveled 5 miles altogether just in two   directions like he turned a corner.

Explanation:

Answer 2

Answer:

Distance travelled by the person  is 5 miles.

Displacement travelled is $\sqrt{13}$ miles.

Explanation:

What do you understand by distance and displacement ?

Distance is the path travelled by the body while displacement is shortest path travelled between two points.

1. Distance is a scaler and displacement is a vector quantity.
2. If a body is in motion distance can never be zero while displacement can be zero.
3. Distance is always positive while displacement can be negative also.

Given Data;

for distance,

$d_{1} =3 miles , d_{2} = 2 miles\\resultant distance d = d_{1} + d_{2} \\ d= 3+2 =5 miles\\Displacement D=\sqrt{3^{2}+2^{2} }$

                      D= $\sqrt{13}$ miles in North -East direction

Hence distance travelled is 5 miles and displacement is $\sqrt{13}$ miles.

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