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An object is moving at a speed of 3 kilometers every 9.5 years. Express this speed in centimeters per hour. Round your answer to the nearest hundredth.

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Answer:

3.60 cm/hr

Explanation:

We need to convert km to cm and years to hours.

1km = 10^3m by definition

1cm = 10^-2 m by definition

(1km/10^3m)*(10^-2m/1cm) = 1 x 10^-5

1cm = 1x10^-5 km or (1cm/1x10^-5km) Conversion factor to go from km to cm

1 year = 365.25 days

1 day = 24 hours

(1 year)*(365.25 days/year)*(24 hours/day) = 8766 hours/year or (1 year/8766 hours) Conversion factor to go from years to hours.

3 kilometers every 9.5 years. Use the two conversion factors from above to change km to cm and years to hours:

[(3 km)/(9.5 years)]*[(1 year/8766 hours)]*[(1cm/1x10^-5 km) = 3.60 cm/hr

User Igor Kostin
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