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Answer :
Final answer:
To convert the sloth's speed of 6 cm/s to km/h, multiply by the conversion factor from cm to km and then from seconds to hours, resulting in a speed of 0.00216 km/h.
Explanation:
To convert a sloth's speed from centimeters per second to kilometers per hour, we start by converting the given speed to the same units as the desired output. We have the sloth's speed as 6 cm/s and want to find its speed in km/h. Converting speed involves two steps:
Convert from cm to km.
Convert from seconds to hours.
We know that 1 km = 100,000 cm and 1 hour = 3600 seconds. Therefore, the sloth's speed in km/h is calculated as follows:
(6 cm/s) × (1 km/100,000 cm) × (3600 s/1 h) = (6 × 36/100,000) km/h = 0.00216 km/h
Example:
Let's demonstrate this by converting a different speed from m/s to km/h. If something moves at 1.0 m/s, we can convert this to km/h by using the following steps:
1.0 m/s × (1 km/1000 m) × (3600 s/1 h) = 1.0 × 3.6 km/h = 3.6 km/h.
This confirms that 1.0 m/s is indeed equivalent to 3.6 km/h, showing the conversion factors used to switch between these units of measurement.
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Rewritten by : Jeany
Step-by-step explanation:
it was measured that the south crawled 6cm in 1 second.
that gets expressed by the ratio
6 cm/sec or formally correct 6/1 cm/sec.
to get that speed in km/h (kilometers per hour), we need to transform the denominator of that ratio to 1 hour.
the only way we can manipulate a fraction or ratio without changing its value is by multiplying numerator and denominator (top and bottom) by the same factor.
like x/y × 3/3 = 3x/3y.
the driver behind a question of this kind is again the denominator. we want the denominator to appear as 1 hour.
so, what do I need to multiply 1 second with to get 1 hour ?
the problem definition tells us : 3600, as there are 3600 seconds in 1 hour.
so, we need to multiply
6/1 × 3600/3600 = (6×3600)/3600 = 21600/3600 =
21600cm/1 hour.
and now, how many km are 21600 cm ?
1 km = 100000 cm
so,
21600cm = 21600/100000 km = 0.216 km
therefore, or full answer is
the sloth's speed was 0.216 km/h