ANSWER
[tex]\begin{gathered} (a)\text{ }6.21m\/s^2 \\ (b)\text{ -}9.19m\/s^2 \end{gathered}[/tex]EXPLANATION
(a) To find the car's average acceleration, we have to apply the formula for average acceleration:
[tex]a_{avg}=\frac{\Delta v}{t}[/tex]where Δv = change in velocity
t = time
Therefore, the car's average acceleration is:
[tex]\begin{gathered} a_{avg}=\frac{44.7-0}{7.2} \\ a_{avg}=\frac{44.7}{7.2} \\ a_{avg}=6.21m\/s^2 \end{gathered}[/tex](b) The car can go from 34 m/s to 0 m/s in 3.7s.
Therefore, applying the formula for average acceleration, the average acceleration of the car is:
[tex]\begin{gathered} a_{avg}=\frac{0-34}{3.7} \\ a_{avg}=\frac{-34}{3.7} \\ a_{avg}=-9.19m\/s^2 \end{gathered}[/tex]That is the answer.