Given:
The initial velocity of the car, u=79.8 mi/h
The final velocity of the car, v=-0 m/s
The time it takes for the car to come to rest, t=9.5 s
To find:
The acceleration of the car.
Explanation:
The initial velocity of the car in m/s is u=35.67 m/s
From the equation of motion,
[tex]v=u+at[/tex]On substituting the known values,
[tex]\begin{gathered} 0=35.67+a\times9.5 \\ \Rightarrow a=\frac{-35.67}{9.5} \\ =-3.75\text{ m/s}^2 \end{gathered}[/tex]Final answer:
The acceleration of the car is -3.75 m/s²