Answer :
Given:
The initial speed of the car is,
[tex]u=54\text{ km/h}[/tex]The acceleration is,
[tex]a=8.2\text{ m/s}^2[/tex]The time for which the car is travelling with acceleration is,
[tex]t=2.3\text{ s}[/tex]To find:
The car's final speed
Explanation:
The initial speed of the car is,
[tex]\begin{gathered} u=54\text{ km/h} \\ =\frac{54\times1000}{3600}\text{ m/s} \\ =15\text{ m/s} \end{gathered}[/tex]The final speed of the car is,
[tex]v=u+at[/tex]Substituting the values we get,
[tex]\begin{gathered} v=15+8.2\times2.3 \\ =33.9\text{ m/s} \end{gathered}[/tex]Hence, the final speed is 33.9 m/s.