Question

2. A boy running on the circulare path of radius
35cm completes half circle. Find distance and
displacement​

Answer 1

Given :

• A boy is running on a circular path and he completes half the circle.

• Radius of the circular path = 35 cm

To find :

• Distance travelled by the boy

• Displacement of the boy

Solution :

★ Distance is the path travelled by an object.

As the boy has completed half the circle(semicircle), it means that the distance travelled by the boy is of πr.

$\implies \sf \dfrac{22}{7} \times 35$

$\implies \sf 22 \times 5$

$\implies \sf 110$

Therefore, the distance travelled by the boy is 110 m.

★ Displacement is the shortest distance travelled by an object or the path travelled by an object in a particular direction.

The shortest distance would be the diameter which will connect the two ends:

→ Diameter = 2 × radius

→ Diameter = 2 × 35

→ Diameter = 75 m

→ The displacement is 75 m.

Extra Information :-

★ Displacement :-

• It is a vector quantity which means it has both direction and magnitude. Displacement without direction is known as distance.
• It's S.I. unit is m.
• It's CGS unit is cm.

★ Distance :-

• It is a scalar quantity which means it has only magnitude but no direction.
• It's S.I. unit is m.
• It's CGS unit is cm.

Answer 2

Explanation:

❁ Distance is the path travelled by an object.

As the boy has completed half the circle(semicircle), it means that the distance travelled by the boy is of πr.

22/7 × 35 = 110

Therefore, the distance travelled by the boy is 110 m.

❁ Displacement is the shortest distance travelled by an object or the path travelled by an object in a particular direction.

The shortest distance would be the diameter which will connect the two ends:

→ Diameter = 2 × radius

→ Diameter = 2 × 35

→ Diameter = 75 m

→ The displacement is 75 m.

hope it helps you