To convert the speed from miles per hour to inches per second, we need to perform the following conversions:
1 mile = 5280 feet
1 foot = 12 inches
First, let's convert the speed from miles per hour to inches per hour:
14 miles/hour * 5280 feet/mile * 12 inches/foot = 14 * 5280 * 12 inches/hour
Next, we need to convert hours to seconds since we want the distance traveled in 3 seconds:
(14 * 5280 * 12 inches/hour) * (1 hour/3600 seconds) = 14 * 5280 * 12 * 1/3600 inches/second
Now, we can calculate the distance traveled in 3 seconds:
Distance = Speed * Time = (14 * 5280 * 12 * 1/3600 inches/second) * 3 seconds
Simplifying the expression:
Distance = (14 * 5280 * 12 * 3) / (3600) inches
Calculating the value:
Distance = 7392 inches
Therefore, if you are traveling at a speed of 14 miles per hour, you would travel 7392 inches in 3 seconds.