Final answer:
A cheetah's speed of 112 km/h is approximately 69.593552 mi/h, and when converted to miles per second, it equals 0.01933154 mi/s.
Step-by-step explanation:
To convert a cheetah's speed from kilometers per hour to miles per second, we first convert kilometers to miles and then hours to seconds. We know that 1 kilometer is approximately 0.621371 miles, and 1 hour is 3600 seconds. Therefore, to convert 112 km/h to mi/s:
112 km/h * 0.621371 mi/km = 69.593552 mi/h.
Now, converting hours to seconds:
69.593552 mi/h ÷ 3600 s/h = 0.01933154 mi/s.
This is the cheetah's max speed in miles per second.