ANSWER
3.0588 m/s²
EXPLANATION
Given:
• The final speed of the car, v = 26 m/s
,• The initial speed of the car, u = 0 m/s - remember that it starts from rest
,• The time it takes the car to reach the final speed, t = 8.5 s
Find:
• The acceleration of the car, a
The speed of an object is given by the equation,
[tex]v=u+at[/tex]In this case, u = 0 m/s, so we have,
[tex]v=at[/tex]Solving for a and replacing the known values,
[tex]a=\frac{v}{t}=\frac{26\text{ }m/s}{8.5\text{ }s}\approx3.0588\text{ }m/s^2[/tex]Hence, the acceleration of the car is 3.0588 m/s², rounded to four decimal places.