Question

A boy moves 6 m towards east and then 8 m towards north .Calculate the distance and displacement .

Answer 1

Step 1:

Given :A boy moves 6 m towards east and 8 m towards north .

Step 2:

To find: Calculate the distance and displacement .

Formula

Distance= (A + B) m .

Displacement =$\sqrt{A^2+B^2}$ m. .

Step 3:

Calculation

1. The total distance travelled by the boy towards east and north is (D) =6 m + 8 m
2. Hence, total distance travelled =14 m.
3. The displacement (d) =$\sqrt{6^2+8^2}m$.
4. Displacement = $\sqrt{36+64}m$.
5. Displacement (d) =$\sqrt{100}m$.
6. Displacement (d) =10 m

Step 4:

Hence, the distance and displacement are 14 m and 10 m.