contestada

A runner ran the marathon (approximately 42.0 km) in 2 hours and 57 min. What was the
average speed of the runner in m/s?

Respuesta :

Answer:

4.5m /s

Explanation:

42.0/2.57 =16.34km/h

16.34/60=0.27km or 270m/m

270/60=4.5m/s

Average speed of a body is the ratio of total distance covered by it to the total times taken. The average speed of the runner is 3.96 m/s.

Given information

The length of the marathon is 42 km (approx.).

The time taken by the runner to ran the marathon is 2 hours and 57 minutes.

What is average speed?

Average speed of a body is the ratio of total distance covered by it to the total times taken.

Average speed of a body can be given as,

[tex]\overline s=\dfrac{\Delta x}{\Delta t}[/tex]

The total distance covered by the runner is 42 km. As there is 1000 m in 1 km. Thus the distance covered by the runner in meter is,

[tex]\Delta t=42\times1000[/tex]

The total time taken by him is 2 hours 57 minutes. Convert this time into minutes,

[tex]\Delta t=60\times2+57\\\Delta t=177[/tex]

Convert the time in seconds,

[tex]\Delta t=177\times60[/tex]

Thus the average speed of the runner can be given as,

[tex]\overline s=\dfrac{42\times1000}{177\times60}\\\overline s=3.96[/tex]

Hence the average speed of the runner is 3.96 m/s.

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