Question

calculate the displacement and distance covered by a person who made 2 rounds around a circular park of radius 2metre​

Answer 1

Given :

Radius of circular path = 2 m

To Find :

Distance covered and displacement of person after completing 2 rounds.

Solution :

❖ Distance is defined as the actual length of path which is covered by moving object.

• It is a scalar quantity having only magnitude.
• SI unit : m

Distance covered by object after completing one round will be equal to the perimeter of circle.

➙ D = 2 × 2πr

➙ D = 2 × (2 × 3.14 × 2)

➙ D = 8 × 3.14

➙ D = 25.12 m

❖ Displacement is defined as the shortest distance between initial and final position of the entire journey$.$

• It is a vector quantity having both magnitude as well as direction.
• SI unit : m

After completing two rounds, body comes back to the initial position.

Hence displacement of person is zero.

Answer 2

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Given :

Radius of circular path = 2 m

To Find :

Distance covered and displacement of person after completing 2 rounds.

Solution :

❖ Distance is defined as the actual length of path which is covered by moving object.

• It is a scalar quantity having only magnitude.
• SI unit : m

Distance covered by object after completing one round will be equal to the perimeter of circle.

➙ D = 2 × 2πr

➙ D = 2 × (2 × 3.14 × 2)

➙ D = 8 × 3.14

➙ D = 25.12 m

❖ Displacement is defined as the shortest distance between initial and final position of the entire journey..

• It is a vector quantity having both magnitude as well as direction.
• SI unit : m

After completing two rounds, body comes back to the initial position.

Hence displacement of person is zero.

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Hope it helps :)