Answer:
8.94 m/s²
Step-by-step explanation:
To determine the cheetah's acceleration, we can use the following formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 0 mph, the final velocity is 60 mph, and the time is 3.0 seconds. Plugging these values into the formula, we get:
acceleration = (60 mph - 0 mph) / 3.0 seconds
acceleration = 20 mph/second
However, the question asks for the acceleration in meters per second squared (m/s²). To convert from mph/second to m/s², we can use the following conversion factor:
1 mph/second = 0.44704 m/s²
Therefore, the acceleration in m/s² is:
acceleration = 20 mph/second * 0.44704 m/s²/mph/second
acceleration = 8.9408 m/s²
So the magnitude of the cheetah's acceleration is approximately 8.94 m/s².