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Chapter 1: Problem 18

A car is moving at \(35.0 \mathrm{mi} / \mathrm{h}\). Express its speed in (a) \(\mathrm{m} / \mathrm{s}\) and (b) \(\mathrm{ft} / \mathrm{s}\).

Short Answer

Expert verified
The speed of the car is approximately \(15.6 \, \mathrm{m}/ \mathrm{s}\) and \(51.3 \, \mathrm{ft}/ \mathrm{s}\).

Step by step solution

01

Conversion to m/s

To convert the speed to meters per second, the conversion factors are needed, 1 mi = 1609 m and 1 hr = 3600 s. Multiply the speed given by these conversion factors: \((35.0 \, \mathrm{mi}/ \mathrm{hr}) \times (1609 \, \mathrm{m}/1 \, \mathrm{mi}) \times (1 \, \mathrm{hr}/3600 \, \mathrm{s})\). This will give a result in meter per second.
02

Conversion to ft/s

To convert the speed to feet per second, the conversion factors are needed, 1 mi = 5280 ft and 1 hr = 3600 s. Multiply the speed given by these conversion factors: \((35.0 \, \mathrm{mi}/ \mathrm{hr}) \times (5280 \, \mathrm{ft}/1 \, \mathrm{mi}) \times (1 \, \mathrm{hr}/3600 \, \mathrm{s})\). This will give a result in feet per second.
03

Round to Appropriate Significant Figures

Rounding the final answers to a reasonable number of decimal places gives a final conversion.

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