Question

An athlete covered a circular track of radius 50m and comes back to his starting point.What is the distance covered and displacement?

Answer 1

Answer :-

Given :-

A athlete covered a circular track of radius 50 meters and comes back to his starting point .

Required to find :-

• What is the distance covered and displacement ?

Formula used :-

$\large{\leadsto{\boxed{\rm{ Circumference \; of \; circle = 2 \pi r }}}}$

Solution :-

Given that :-

A athlete covered a circular track of radius 50 meters and comes back to his starting point .

We need to find the distance covered and displacement

So,

Let's first find the circumference of the track .

Using the formula,

$\large{\leadsto{\boxed{\rm{ Circumference \; of \; circle = 2 \pi r }}}}$

So,

( Take (pi) π value as 3.14 in order to simplify our calculations )

$\longrightarrow{\tt{ Circumference \; of \; track = 2 \times 3.14 \times 50 }}$

$\longrightarrow{\tt{ Circumference \; of \; track = 100 \times 3.14 }}$

$\implies{\rm{Circumference \; of \; track = 314 \; meters }}$

Hence,

$\underline{\orange{\tt{ Circumference \; of \; track = 314 \; meters }}}$

By using a bit of logic we can conclude that :-

Distance travelled by the athletic in one round is equal to the perimeter of the track .

So,

Distance travelled by the athletic is 314 meters .

Hence,

$\huge{\dagger}$$\large{\underline{\tt{Total \; distance \; = 314 \; meters}}}{\huge{\blue{\bigstar}}}$

Now we need to find the displacement .

In the question it is also stated that ,

The athletic when started from the initial point again gets back to the same initial point .

So

we know that ,

If a object starting from a point moves and reaching the same point after sometime then the displacement is said to be zero .

Hence,

$\huge{\dagger}$$\large{\underline{\tt{Displacement\; = 0 \; meters}}}{\huge{\blue{\bigstar}}}$

Answer 2

Answer:-

Given:-

Radius of the circular track = 50 m

To Find:-

• Displacement &
• Distance covered.

_______________...

1. Distance:-

Here, perimeter of the Circular track must be the total distance covered by the Athelete.

∴ Distance covered = 2π × 50 m

[Perimeter of circ. = 2πr]

➽ 2 × 22/7 × 50 m

➽ 44/7 × 50 m

➽ 314.28 m (Approx.) ...(Ans. 1)

2. Displacement:-

We know that displacement is the shortest distance from the initial point of starting and the final point.

Since the initial point became the final point, therefore the shortest distance is 0.

In simple words,

∴ There is a 0 displacement. ...(Ans. 2)