Question

An athlete completes one round of a circular track of radius 14m in 5s. What is his speed and velocity after one round ?

Answer 1

Answer:

Speed = 17.6 m/s

Velocity = 0 m/s

Explanation:

As per the provided information in the given question, we have:

• An athlete completes one round of a circular track of radius 14m in 5s.

We are asked to calculate speed and displacement after 1 round.

Speed can be defined as distance covered per unit time. Here distance, covered will be the perimeter or the circumference of the circular track.

→ Distance covered = Circumference

→ Distance covered = 2πr

→ Distance covered = (2 × 22/7 × 14) m

→ Distance covered = (2 × 22 × 2) m

→ Distance covered = 88 m

Now, as we know that,

→ Speed = Distance ÷ Time

→ Speed = 88 m ÷ 5 s

→ Speed = 17.6 m/s

Therefore, speed of the athlete is 17.6 m/s.

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Now, we have to calculate the velocity. In order to calculate the velocity of the athlete, firstly we need to calculate his displacement.

Displacement is the shortest distance from initial to final position. Suppose the body starts from point A, after 1 round it'll again come back to point A. Thus, its initial and the final position is same. So, displacement is 0.

Velocity is defined as displacement divided by time taken.

→ Velocity = Displacement ÷ Time

→ Velocity = 0 m ÷ 5 s

→ Velocity = 0 m/s

Therefore, velocity of the athlete is 0 m/s.