Question

A horse running along a circular track of radius 10 m completes one round in 50s. What is the distance covered and displacement?

Answer 1

In the above Question , the following information is given -

A horse running along a circular track of radius 10 m completes one round in 50s.

We have to find the distance covered and the displacement of the horse.

Solution -

First let me define distance and displacement .

Distance refers to the total length of the path covered between two points , whereas displacement is the shortest distance between the points .

Here , .

The horse runs around in a circle and completes one round , returning to the same point .

As it returns to the initial point , the displacement becomes zero .

Now ,

The required distance travelled by the hose is the circumference of the path travelled .

We have the following information -

The radius of the track is 10 m.

We know that -

Circumference

=> 2. π r

=> 20 π metres .

=> 20 × 3.14 metres

=> 61.8 m

So , hence the distance travelled by the horse is 61.8 metres .

Note that the time given is superfluous here .

Answer 2

GIVEN

A horse running along a circular track of radius 10 m completes one round in 50 s.

◙ Radius of the circular track, r = 10 m

◙ Time taken, t = 50 s

$\underline{\rule{200}2}$

TO FIND

The distance covered and displacement of the horse.

$\underline{\rule{200}2}$

SOLUTION

$\bigstar$ Distance is the total length of the path covered between the initial point and the final position.

Distance covered = Perimeter of the circular track

⇒Distance covered = 2πr

Taking π as 22/7,

⇒Distance covered = 2 × (22/7) × 10

⇒Distance covered = 440/7 m

$\rule{120}{1.7}$

$\bigstar$ Displacement is the shortest length of the path covered between the initial point and the final position.

Displacement = 0 m

(As the initial point and the final point are the same)