Question

Suppose you walk 3m along east and then 4m along
north direction. Calculate the distance and
displacement moved by you. Draw necessary
diagram​

Answer 1

Answer:

Distance covered = 7 m

Displacement = 5 m

Explanation:

As per the provided information in the given question, we have :

• I walk 3m along east and then 4 m along north direction.

We are asked to calculate the distance and

the distance anddisplacement moved by you.

Refer to the 2nd attachment for the diagram.

Calculating distance travelled :

Distance is the total path cover by the body, irrespective of the direction in which it is moving.

⇒ Distance covered = Total length of path

⇒ Distance covered = (4 + 3) m

⇒ Distance covered = 7 m

∴ Distance covered is 7 m.

Calculating displacement :

Displacement is the shortest distance from initial to final position. Here, initial position is A and final position is B. The shortest distance between two positions is always a straight line. Thus, AC is the displacement.

We can find the length of AC by using pythagoras property.

⇒ (Displacement)² = (AB)² + (BC)²

⇒ (Displacement)² = (3m)² + (4m)²

⇒ (Displacement)² = 9m² + 16m²

⇒ (Displacement)² = 25m²

⇒ Displacement = √(25m²)

⇒ Displacement = 5 m

∴ Displacement made by the body is 5 m.

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