To convert the speed from miles per hour (mph) to feet per second (fps), you can use the following conversions:
1 mile = 5,280 feet
1 hour = 3,600 seconds
Given that the golf cart is traveling at 30 miles per hour, you can convert it to feet per second using the formula:
\[ \text{Speed in feet per second} = \text{Speed in miles per hour} \times \frac{5,280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3,600 \text{ seconds}} \]
Plugging in the numbers:
\[ \text{Speed in feet per second} = 30 \text{ mph} \times \frac{5,280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3,600 \text{ seconds}} \]
Calculating this step by step:
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Calculate the conversion factor: \[ \frac{5,280 \text{ feet}}{3,600 \text{ seconds}} = \frac{5,280}{3,600} \]
Dividing: \[ 5,280 \div 3,600 = 1.46667 \text{ (approximately)} \]
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Now multiply by the speed in mph: \[ 30 \times 1.46667 \approx 44.0 \text{ fps} \]
Therefore, the golf cart is traveling at approximately 44 feet per second.
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