Question

A sprinter ran the​ 100-meter dash in 11.12 seconds, what was the​ sprinter's speed in miles per​ hour?

Answer 1

To convert the sprinter's speed to mph, first calculate the speed in m/s by dividing the distance by the time, then multiply by conversion factors to get approximately 20.11 mph.

Step-by-step explanation:

To convert the sprinter's speed from meters per second (m/s) to miles per hour (mph), we will use the sprinter's 100-meter dash time of 11.12 seconds to first calculate the speed in meters per second and then convert it to miles per hour. Here's a step-by-step calculation:

1. Calculate the sprinter's speed in meters per second by dividing the distance (100 meters) by the time (11.12 seconds):
   Speed = Distance ÷ Time = 100 m ÷ 11.12 s ≈ 9.00 m/s.
2. Convert the speed to miles per hour using unit conversion. We know that 1 mile = 1609.34 meters and 1 hour = 3600 seconds, so:
   Speed in mph = Speed in m/s ÷ (3600 s/hour) ÷ (1 mile/1609.34 meters).
   Speed in mph ≈ 9.00 m/s ÷ (3600/1609.34) ≈ 20.11 mph.

Thus, the sprinter's speed was approximately 20.11 miles per hour.