Final answer:
The question involves converting speeds between kilometers per hour and miles per hour, which is necessary to compare vehicle speeds recorded by a monitor to the local speed limit.
Step-by-step explanation:
The question pertains to converting speeds between different units of measurement. In the scenario described, vehicles are being monitored for their speed in a residential area. Although the speed monitor was set to kilometers per hour, the local speed limit is communicated in miles per hour. To understand the data collected by the monitor in relation to the local speed limit, one must convert kilometers per hour to miles per hour and vice versa.
To do this, we use the conversion factors given in the question. We know that 50 kilometers per hour is approximately 31 miles per hour, which is relevant to the residential area's speed limit. Additionally, we can convert speeds between meters per second and kilometers or miles per hour using the respective conversion factors: 1 meter per second is equal to 3.6 kilometers per hour and also equal to 2.2 miles per hour. By applying these conversions, one can develop a better understanding of the speeds in question.
Given that the speed monitor collected data in kilometers per hour, we need to convert the data to miles per hour. To do this, we can use the conversion factor that 1 kilometer is approximately equal to 0.621371 miles. Therefore, 50 kilometers per hour is equal to approximately 31 miles per hour.
This is a typical speed limit for a residential area, as the speed limit in residential areas is generally 25 mph unless otherwise posted.
For example, if the speed limit is 60 km/hr (as in a typical urban setting), and we know the average car length and required distance to cross safely, we can calculate the time one would need to cross in front of a car moving at that speed. This approach can also be used to convert the mentioned football field length from yards to meters.