Question

Use the conversion 8km/h = 5mph to convert 28m/s into mph if your answer is a decimal give it to 1 d.p.

Answer 1

To convert 28 m/s to mph, we first convert m/s to km/h and then use the conversion factor 8 km/h equals 5 mph to find that 28 m/s is equivalent to 63.0 mph.

Step-by-step explanation:

To convert 28 meters per second (m/s) to miles per hour (mph), we can use the given conversion factor 8 km/h equals 5 mph. First, we need to convert meters per second to kilometers per hour. Since 1 km = 1000 m and 1 hour = 3600 seconds, we can calculate as follows:

1. Convert meters per second to kilometers per second by dividing by 1000:
   28 m/s ÷ 1000 = 0.028 km/s.
2. Convert kilometers per second to kilometers per hour by multiplying by 3600:
   0.028 km/s × 3600 = 100.8 km/h.
3. Now, use the conversion factor where 8 km/h = 5 mph. To convert 100.8 km/h to mph, we set up a proportion or simply multiply by (5/8), since 8 km/h is equivalent to 5 mph:
   100.8 × (5/8) = 63.0 mph.

Thus, 28 m/s is equivalent to 63.0 mph.