Final answer:
The acceleration of the cheetah is 4.29 m/s².
Step-by-step explanation
Acceleration is a vector quantity that represents the rate of change of velocity with respect to time. It measures how quickly an object is changing its velocity, including changes in speed or direction. Acceleration is denoted by the symbol "a" and is typically measured in units such as meters per second squared
The acceleration of the cheetah can be calculated using the equation:
Acceleration = (final velocity - initial velocity) / time
Given that the cheetah accelerates from rest (initial velocity = 0) to a speed of 30.0 m/s in 7.00 s, the equation becomes:
Acceleration = (30.0 m/s - 0) / 7.00 s
Therefore, the acceleration of the cheetah is 4.29 m/s².