Answer:
17.1 m
Explanation:
To know how much distance is required to get a final velocity of 0 m/s, we need to use the following equation:
[tex]v^2_f=v^2_0+2a(\Delta x)[/tex]Where vf is the final velocity, v0 is the initial velocity, a is the acceleration and Δx is the distance required. So, replacing vf by 0 m/s, v0 by 11.4 m/s, and a by -3.8 m/s² we get:
[tex]\begin{gathered} 0^2=(11.4)^2+2(-3.8)(\Delta x) \\ 0=129.96-7.6(\Delta x) \end{gathered}[/tex]Then, solving for Δx, we get:
[tex]\begin{gathered} 7.6\Delta x=129.96 \\ \Delta x=\frac{129.96}{7.6} \\ \Delta x=17.1\text{ m} \end{gathered}[/tex]Therefore, the vehicle required 17.1 m to come to rest.
