Steve races to the nearest taco stand at lunchtime and sees that his pedometer recorded his peak speed at 71.7 cm/s. What was Steve's peak speed in kilometers per hour?

Respuesta :

Answer  and Explanation:

1 Km= 100 X 1000 cm

1 Hour= 60 X 60 = 3600 sec

With this in mind:

1 cm = 10-⁵ Km

1 sec = 0.00027777777 hour

Now:

speed=  71.7 cm/sec = 71.7 x 10-⁵ / 0-00027777777 km/hr =

2.5560 km/hour ⁻¹

The peak speed of 71.7 cm/s is equivalent to 2.58 km/h.

Steve races at a maximum speed of 71.7 cm/s. To convert this speed to kilometers per hour, we will need a series of conversion factors.

What is a conversion factor?

A conversion factor is an arithmetical multiplier for converting a quantity expressed in one set of units into an equivalent expressed in another.

To convert cm/s to km/h, we need to consider the following conversion factors.

  • 1 km = 1000 m.
  • 1 m = 100 cm.
  • 1 h = 60 min.
  • 1 min = 60 s.

[tex]\frac{71.7cm}{s} \times \frac{1m}{100cm} \times \frac{1km}{1000m} \times \frac{60s}{1min} \times \frac{60min}{1h} = 2.58 km/h[/tex]

The peak speed of 71.7 cm/s is equivalent to 2.58 km/h.

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