Question

an athlete completes a round of a circular track of diameter 200 metre in 20 second calculate the distance and displacement at the end of 1 minute 10 second​

Answer 1

Answer:

Distance = 2200 metres

Displacement = 200 metres

Explanation:

Given:

• Radius of the circular track = $\frac{Diameter\ of\ the\ circular\ track}{2}$=$\frac{200}{2}= 100 \ metres$

• Time taken for completion of one round = 20 seconds

To find:

• Distance at the end of 1 minute 10 seconds
• Displacement at the end of 1 minute 10 seconds

1 minute 10 seconds = 70 seconds

No. of rounds completed = $\frac{70}{20} = 3.5 \ rounds$

Distance at the end of 1 minute 10 seconds:

3.5×Circumference of the circle

3.5×2×π×100

7×$\frac{22}{7}$×100

2200 metres (or) 2.2 km

Displacement at the end of 1 minute 10 seconds:

The displacement at the end of 1 minute 10 seconds will be equal to diameter of the circle (200 metres)

Displacement = 200 metres

Answer 2

Answer:

Explanation:

Solution,

Here, we have

Diameter = 200 m

Radius = 200/2 = 100 m

Time taken to complete one round = 20 seconds

To Find,

Distance traveled and displacement at the end of 1 min 10 seconds

Here, 1 min 10 sec = 70 sec = 70/20 = 3.5 rounds

At first we will solve for distance covered,

We know that,

Circumference = 2πr

So,

Distance covered = 3.5 × 2πr

= 3.5 × 2 × 22/7 × 100

= 700 × 22/7

= 100 × 22

= 2200 m or 2.2 km

Now, for displacement,

Displacement is Zero as it return to initial position again.