Given,

• Diameter of circular track= 200m
• Time taken by an athlete to complete one round= 30s

To find:

• Distance travelled by an athlete
• Magnitude of the displacement of the athlete at the end of 30s.

Solution,

Radius of Circular track= 100m

Circumference of Circular track= 2πr

[tex]2 \times \frac{22}{7} \times 100[/tex]

= 4400/7

628.57

Thus, distance travelled by an athlete is 628.57m.

Verified answer

Explanation:

diameter of the circular track = 200 metres

Radius of the circular track = \frac{200}{2}

2

200

= 100 metres

Time taken = 30 seconds

To find:

• Distance travelled by the athlete
• Displacement at end of 30 seconds

Distance travelled will be equal to the boundary (circumference of the circle)

Circumference of the circle = 2 \pi r2πr

Circumference of the circle = 2 \times \frac{22}{7} \times1002×

7

22

×100

Circumference of the circle = \frac{4400}{7}

7

4400

Circumference of the circle = 628.57 metres

The distance travelled at the end of 30 seconds will be equal to 628.57 metres

At the end of 30 seconds the athlete will come back to the initial position which means displacement =0

1. 628.57 metres
2. 0 metres.