Given data:
Initial speed of the car;
[tex]u=5\text{ m/s}[/tex]Final speed of the car;
[tex]v=34\text{ m/s}[/tex]Time;
[tex]t=8.0\text{ s}[/tex]The acceleration of the car is given as,
[tex]a=\frac{v-u}{t}[/tex]Substituting all known values,
[tex]\begin{gathered} a=\frac{(34\text{ m/s})-(5\text{ m/s})}{(8.0\text{ s})} \\ =3.625\text{ m/s}^2 \end{gathered}[/tex]Therefore, the acceleration of the car is 3.625 m/s².