EXAMPLE 4 Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30 second time interval. We take the speedometer readings every five seconds and record them in the following table.Time (s) 0 5 10 15 20 25 30Velocity (mi/h) 17 19 25 27 33 30 28In order to have the time and the velocity in consistent units, let's convert the velocity readings to feet per second (1 mi/h = 52803600 ft/s). (Round your answers to the nearest whole number.)Time (s) 0 5 10 15 20 25 30Velocity (ft/s) 25 37 48 44 41
Question
EXAMPLE 4 Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30 second time interval. We take the speedometer readings every five seconds and record them in the following table.Time (s) 0 5 10 15 20 25 30Velocity (mi/h) 17 19 25 27 33 30 28In order to have the time and the velocity in consistent units, let's convert the velocity readings to feet per second (1 mi/h = 52803600 ft/s). (Round your answers to the nearest whole number.)Time (s) 0 5 10 15 20 25 30Velocity (ft/s) 25 37 48 44 41
Solution
To convert the velocity readings from miles per hour to feet per second, we need to multiply each reading by the conversion factor of 5280/3600 (since there are 5280 feet in a mile and 3600 seconds in an hour).
Let's do the calculations:
17 mi/h * (5280/3600) ≈ 25 ft/s 19 mi/h * (5280/3600) ≈ 28 ft/s 25 mi/h * (5280/3600) ≈ 37 ft/s 27 mi/h * (5280/3600) ≈ 40 ft/s 33 mi/h * (5280/3600) ≈ 49 ft/s 30 mi/h * (5280/3600) ≈ 44 ft/s 28 mi/h * (5280/3600) ≈ 41 ft/s
So, the table with the converted velocity readings is:
Time (s) 0 5 10 15 20 25 30 Velocity
Similar Questions
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