Final answer:
A cheetah running 1 meter in 0.0346812 seconds has a speed of approximately 64.49 mph. This is calculated by first finding the speed in m/s and then converting it to mph using the conversion factor 1 m/s = 2.237 mph.
Step-by-step explanation:
To find out how fast a cheetah is in mph when it can run 1 meter in 0.0346812 seconds, we first need to calculate its speed in meters per second (m/s). We do this by taking the reciprocal of the time it takes to run 1 meter:
Speed in m/s = 1 / 0.0346812 s = 28.830 m/s
Now, to convert this speed to miles per hour (mph), we use the given conversion factor:
1 m/s = 2.237 mph
Therefore, the cheetah's speed in mph is:
Speed in mph = 28.830 m/s × 2.237 mph/m/s = 64.49 mph (rounded to two decimal places)
Thus, a cheetah can run with a speed of approximately 64.49 mph.