The current indoor world record time in the 200-m race is 19.92 s, held by Frank Fredericks of Namibia (1996), while the indoor record time in the one-mile race is 228.5 s, held by Hicham El Guerrouj of Morroco (1997).
(a) Find the mean speed in meters per second corresponding to the record time for the 200-m event.
m/s
(b) Find the mean speed in meters per second corresponding to the record time for the one-mile event.
Please show work on whole problem
To find the mean speed in meters per second for the record time in the 200m event, we can use the formula:
Speed = Distance / Time
(a) For the 200m event:
Distance = 200 meters
Time = 19.92 seconds
Mean speed = 200 meters / 19.92 seconds = 10.02 m/s
Therefore, the mean speed for the record time in the 200m event is 10.02 m/s.
To find the mean speed in meters per second for the record time in the one-mile event, we first need to convert the distance from miles to meters. There are 1,609.34 meters in 1 mile.
(b) For the one-mile event:
Distance = 1 mile = 1,609.34 meters
Time = 228.5 seconds
Mean speed = 1,609.34 meters / 228.5 seconds ≈ 7.04 m/s
Therefore, the mean speed for the record time in the one-mile event is approximately 7.04 m/s.
To find the mean speed in meters per second corresponding to the record time for each event, we need to use the formula:
Mean Speed = Distance / Time
(a) For the 200-m race:
The record time is given as 19.92 s. We want to find the mean speed in m/s.
Mean Speed = 200 m / 19.92 s
To find the mean speed, divide the distance by the time:
Mean Speed = 10.040 s
Therefore, the mean speed in meters per second for the 200-m race record is approximately 10.04 m/s.
(b) For the one-mile race:
The record time is given as 228.5 s. We want to find the mean speed in m/s.
Since the record time is given in seconds, we need to convert the distance from miles to meters to have consistent units.
1 mile is equal to 1609.34 meters.
Mean Speed = (1 mile in meters) / 228.5 s
Mean Speed = 1609.34 m / 228.5 s
To find the mean speed, divide the distance by the time:
Mean Speed = 7.03 m/s
Therefore, the mean speed in meters per second for the one-mile race record is approximately 7.03 m/s.