Final answer:
To convert 80 km/h to meters per second, we get 22.2 m/s, and to miles per hour, we get 49.7 mi/h.
Step-by-step explanation:
Understanding speed limits on highways involves converting units of measurement.
Converting Kilometers per Hour to Meters per Second
First, we'll address question 36 from the provided information - the speed limit of 80 km/h. To convert kilometers per hour to meters per second, we use the conversion factor where 1 km = 1000 m and 1 hour = 3600 seconds. Thus:
80 km/h = 80 × (1000 m / 1 km) / (3600 s / 1 h) ≈ 22.2 m/s
Converting Kilometers per Hour to Miles per Hour
Next, to convert 80 km/h into miles per hour, we use the conversion factor where 1 mile is approximately 1.609 kilometers. Therefore:
80 km/h ÷ 1.609 km/mi ≈ 49.7 mi/h
Thus, the answer for question 36 is (b) 22.2 m/s, 49.7 mi/h.
Additional Speed Limit Conversions
Similarly, for question 14 which asks to convert 100 km/h to miles per hour:
100 km/h ÷ 1.609 km/mi ≈ 62.1 mi/h
And from Problems & Exercises 1.2, we know that 100 km/h converted to meters per second is 27.8 m/s.