in 1954 roger bannister became the first human to run a mile in less than 4 minutes. suppose that a runner on a straight track covers a distance of 1.00 mi in exactly 4.00 min.
What is the average speed in mi/h
What is his average speed in ft/s
what is his average speed in m/s
Thanks in advance.
a. Speed=1mi/4min * 1min/60s * 3600s/h =
15 mi/h.
b. S=15mi/h * 5280Ft/mi * 1h/3600s = 22
Ft./s.
c. S = 15mi/h * 1600m/mi * 1h/3600s=
To find the average speed, we need to use the formula:
Average Speed = Total Distance / Total Time
Given:
Total Distance = 1.00 mile
Total Time = 4.00 minutes
1. To find the average speed in miles per hour (mi/h), we need to convert the time from minutes to hours since the distance is already in miles.
Total Time in hours = Total Time in minutes ÷ 60
= 4.00 min ÷ 60
= 0.067 hours
Now we can use the formula to find the average speed in mi/h:
Average Speed = Total Distance / Total Time
= 1.00 mile / 0.067 hours
≈ 14.93 mi/h
Therefore, the average speed is approximately 14.93 mi/h.
2. To find the average speed in feet per second (ft/s), we need to convert the distance from miles to feet and the time from minutes to seconds.
Total Distance in feet = Total Distance in miles × 5280 (1 mile = 5280 feet)
= 1.00 mile × 5280 feet
= 5280 feet
Total Time in seconds = Total Time in minutes × 60
= 4.00 min × 60
= 240 seconds
Now we can use the formula to find the average speed in ft/s:
Average Speed = Total Distance / Total Time
= 5280 feet / 240 seconds
≈ 22 ft/s
Therefore, the average speed is approximately 22 ft/s.
3. To find the average speed in meters per second (m/s), we need to convert the distance from miles to meters and the time from minutes to seconds.
Total Distance in meters = Total Distance in miles × 1609.34 (1 mile = 1609.34 meters)
= 1.00 mile × 1609.34 meters
= 1609.34 meters
Total Time in seconds = Total Time in minutes × 60
= 4.00 min × 60
= 240 seconds
Now we can use the formula to find the average speed in m/s:
Average Speed = Total Distance / Total Time
= 1609.34 meters / 240 seconds
≈ 6.705 m/s
Therefore, the average speed is approximately 6.705 m/s.