Final answer:
The acceleration of the cheetah heading south is 10.43 m/s².
Step-by-step explanation:
The cheetah's acceleration can be calculated using the formula:
acceleration = change in velocity / time taken
Given that the cheetah accelerates from 0.0 m/s to 31.3 m/s in 3.0 seconds, we can substitute the values into the formula:
acceleration = (31.3 m/s - 0.0 m/s) / 3.0 s = 10.43 m/s²
Therefore, the acceleration of the cheetah heading south is 10.43 m/s².