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Sagot :
Answer:
6.71 meters per second squared
Explanation:
Speed vs velocity
Average acceleration is defined as the rate of change of velocity per unit of time.
Velocity is a vector, a quantity that has both direction and magnitude (size). In this case, the cheetah is not changing directions, so we can ignore vector directions, and treat velocity as just speed.
[tex]a=\dfrac {\Delta v}{\Delta t}[/tex]
Analyzing units
The units of the acceleration requested are meters per second squared, and the units of speed and time are measured in meters per second, and seconds.
The units all match, so we just need to substitute and calculate/simplify
Calculations
[tex]a=\dfrac{(28.5[\frac {m}{s}])}{(4.25[s])}[/tex]
[tex]a=6.70588235294...[\frac {m}{s^2}][/tex]
Accounting for significant figures, the acceleration is 6.71 meters per second squared.
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