Question

The speed limit on some interstate highways is roughly 100 km/h. (a) What is this in meters per second? (b) How many miles per hour is this?

(a) (27.78) m/s
a) (27.78) m/s
b) (62.14) mi/h
c) (100) m/s
d) (40.00) m/s

(b) (62.14) mi/h
a) (27.78) m/s
b) (62.14) mi/h
c) (100) m/s
d) (40.00) m/s

Answer 1

100 kilometers per hour is equivalent to 27.78 meters per second and 62.14 miles per hour.

Step-by-step explanation:

The student is asking how to convert a speed from kilometers per hour (km/h) to meters per second (m/s) and miles per hour (mi/h).

To convert 100 km/h to m/s, we use the conversion factor where 1 km = 1000 meters and 1 hour = 3600 seconds. Therefore, we multiply the speed in km/h by (1000 m/1 km) and then divide by (3600 s/1 h):

100 km/h * (1000 m / 1 km) / (3600 s / 1 h) = 27.78 m/s.

To convert 100 km/h to mi/h, we use the conversion factor where 1 km is approximately 0.621371 mi:

100 km/h * (0.621371 mi / 1 km) = 62.14 mi/h.