Answer:
The car travels 800m
Explanation:
We will need two formulas to solve this question:
[tex]V_{f}=V_{0}+at\\X=V_{0}t+\frac{at^{2}}{2}[/tex]
We can obtain the the time by using the final velocity formula and replacing with known values:
[tex]V_{f}=V_{0}+at\\\\0\frac{m}{s}=80\frac{m}{s}-4\frac{m}{s^{2}}t\\\\4\frac{m}{s^{2}}t=80\frac{m}{s}\\t=20 s[/tex]
Since we know the time, the question will be answered by inputing all the variables needed in the distance formula:
[tex]X=V_{0}t+\frac{at^{2}}{2}\\\\X=80\frac{m}{s}(20s)-\frac{4(20s)^{2}}{2}=800m[/tex]
