Question

A car completes one round around a circular path of radius 2 km Find the distance and displacement of the car

Answer 1

Given

A car completes one round around a circular path of radius 2 km

To Find

The distance and displacement of the car

Solution

Calculating distance

We know that

Distance = circumference of circular path

And

Circumference of circular path = 2πr

Hence

$\pink{\boxed{\sf Distance=2 \pi r}}$

Given that

A car completes one round around a circular path of radius 2 km

Hence

• r = 2 km

We know that

• π = 3.14

Substituting the values

We get

Distance = 2 x 3.14 x 2 km

Distance = 12.56 km

Calculating displacement

We know that

Displacement = distance between initial and final position

Given that

A car completes one round around a circular path of radius 2 km

Here

The car completes one round around a circular path

So

The car comes back to the initial position

Hence

Displacement = 0

Therefore

Distance = 12.56 km

Displacement = 0 km

Answer 2

Given :

• A car completes one round around a circular path of radius 2 km

To Find :

• The distance and displacement of the car

Solution :

$: \implies \: \: \: \: \: \: \: \: \boxed{\sf \: distance \: = 2\pi r}$

Substitute all values :

$: \implies \: \: \: \: \: \: \: \: \sf \: distance \: = 2 \times \frac{22}{7} \times 2\\ \\ \\ : \implies \: \: \: \: \: \: \: \: \sf \: distance \: = \cancel{ \frac{88}{7}} \\ \\ \\ : \implies \: \: \: \: \: \: \: \: \sf \: distance \: = 12.57$

Concept :

• Displacement can be calculated by measuring the final distance away from a point, and then subtracting the initial distance.

The car completes one round around a circulal then The car comes back to the initial position Displacement = 0