The setup you have for converting 70 miles per hour into centimeters per second is mostly correct, but it can be simplified for clarity.
Here’s a more organized way to set it up:
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Start with the speed in miles per hour: \[ 70 \text{ miles/hour} \]
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Convert miles to feet: \[ 70 \text{ miles/hour} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \]
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Convert feet to inches: \[ \times \frac{12 \text{ inches}}{1 \text{ foot}} \]
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Convert inches to centimeters: \[ \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \]
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Convert hours to seconds: \[ \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \]
Putting it all together, your complete conversion setup would look like this:
\[ 70 \text{ miles/hour} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{12 \text{ inches}}{1 \text{ foot}} \times \frac{2.54 \text{ cm}}{1 \text{ inch}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} \]
This will give you the speed in centimeters per second.
So yes, you have the right idea, but just make sure that the conversion from hours to seconds is done correctly by using \(3600\) seconds (since 1 hour = 60 minutes and 1 minute = 60 seconds).