Question

An athlete completes one round of a circular track of diameter 40 m in
12 sec. What will be the distance covered and the displacement at the end
of 54 sec ?​

Answer 1

Explanation:

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Since one lap is 125.66 m, his total displacement is approximately 125.6... The distance covered in ONE round is pi * diameter = 125.66 m. Since one lap around the track is 125.66 m, in 54 seconds he would've completed (laps from his starting point) 565.5 m / 125.66 m = 4.5 laps.

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Answer 2

Answer:

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Explanation:

Circumference of the circular track =π×diameter = 40π m

Speed = Distance ÷ time = (40π÷12) m/s

=(10π/3) m/s

Distance covered in 54 seconds = speed × time

= (10π/3) × 54m = 180π m

Now you can calculate the distance at your desired level of accuracy. Approximately, it's equal to 565.4867 m.

Now, divide this distance by the circumference to find his position on the track. You get 180π÷40π = 4.5, that means, 4 and half rounds he has completed. And now he is at the point diametrically opposite to his starting point. So, the displacement is equal to the diameter, i.e., 40m.