Question

a person travel at the distance of 4.0 m towards east , then turns left and travel 3.0 m towards north. i) what is the total distance covered by the person ? ii) what is the magnitude of his displacement?

Answer 1

Answer:

Total Distance Covered by the person

=7.0 m

Displacement= 5.0m

Explanation:

total distance. 4+3

displacement=√25=5

Answer 2

Answer:

i ) 7 meters

ii ) 5 meters

Explanation:

Distance is the path covered by a body form its initial position to its final position.

Here , the person has initially travelled 4 meters east and turns left to north for 3 meters .

By the definition of distance , the total distance travelled by the person would be :

4 meters + 3 meters

= 7 meters

Ans for i ) :  The total distance travelled by the person would be 7 meters .

Now ,

Displacement of a body is the shortest path from its initial position to its final position .

Displacement of the person would be :

( See the given jpeg image )

By Pythagoras theorem <

Perpendicular² +  Base² = Hypotenuse²

4² + 3² = Hypotenuse²

16 + 9 = Hypotenuse²

25 = Hypotenuse²

Hypotenuse = √25

Hypotenuse = ± 5

But , the displacement cannot be negative

ii ) Therefore , the displacement of the person would be 5 meters.