Answer: To find Usain's speed in miles per hour, we need to convert the distance from yards to miles and the time from seconds to hours. To convert yards to miles, we divide the number of yards by the number of yards in a mile (1,760). To convert seconds to hours, we divide the number of seconds by the number of seconds in an hour (3,600).
So, to find Usain's speed, we use the formula:
Speed = Distance / Time
In this case, we have:
Speed = (100 yd) / (9 s)
We need to convert yards to miles and seconds to hours, so we can use the following conversion factors:
1 yd = 1/1,760 mi
1 s = 1/3,600 hr
By applying this conversion factor we get the speed in miles/hour.
Speed = (100 yd) / (9 s) * (1/1,760 mi/yd) * (1/3,600 hr/s)
So the final answer will be:
Speed = (100/9) * (1/1,760) * (1/3,600) miles/hour
Hence, option M: 3,600 s is the final answer.
Explanation: