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A cheetah was observed running at a speed of 30.6 m/s. Use the following facts to convert this speed to kilometers per hour (km/h). 1 km = 1000 m 1 min = 60 sec 1 hour = 60 min Round your answer to the nearest tenth. Hint: It is best to wait to round until you have completed all the calculations.

User Nadiya
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Answer:

110.16km/hr.

Step-by-step explanation:

The speed of the cheetah in m/s = 30.6

Now:


\begin{gathered} 1\operatorname{km}=1000m \\ \implies1m=(1)/(1000)km \end{gathered}

Next:


\begin{gathered} 1\text{ hour = 60 minutes = 60 x 60 seconds} \\ 1\text{ hour = 3600 seconds} \\ \text{Therefore:} \\ 1\text{ second=}(1)/(3600)\text{ hour} \end{gathered}

Therefore, 30.6 m/s in km/hr will be:


\begin{gathered} =30.6*((1)/(1000))/((1)/(3600)) \\ =30.6*(1)/(1000)/(1)/(3600) \\ =30.6*(3600)/(1000) \\ =30.6*3.6 \\ =110.16\operatorname{km}\text{ per hr} \end{gathered}

The speed of the cheetah in km/hr is 110.16km/hr.

User Almaron
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