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Hi, There!

O 10 m/s

O 10 yd/s

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When converting all the given speeds to km/h and after comparing them, we have that the greatest is option 2: 10 m/s.

To find which of the given speeds is greatest, we need to convert all the units to km/h so we can compare the values.

  • Option 1. 10 km/h

  • Option 2. 10 m/s to km/h

[tex]v = 10 \frac{m}{s}*\frac{1 km}{1000 m}*\frac{3600 s}{1 h} = 36 km/h[/tex]

  • Option 3. 10 ft/s to km/h

[tex]v = 10 \frac{ft}{s}*\frac{1 km}{3280.8 ft}*\frac{3600 s}{1 h} = 11.0 km/h[/tex]

  • Option 4. 10 mi/h to km/h

[tex]v = 10 \frac{mi}{h}*\frac{1 km}{0.6214 mi} = 16.1 km/h[/tex]

  • Option 5. 10 yd/s to km/h

[tex]v = 10 \frac{yd}{s}*\frac{1 km}{1093.6 yd}*\frac{3600 s}{1 h} = 32.9 km/h[/tex]

Therefore, the greatest speed is option 2: 10 m/s.

You can learn more about unit conversions here: https://brainly.com/question/555814?referrer=searchResults

I hope it helps you!        

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