Answer: [tex]4 m/s^{2}[/tex]
Explanation:
In this situation the following equation will be useful:
[tex]V=V_{o}+at[/tex]
Where:
[tex]V=8 m/s[/tex] is the runner’s final velocity
[tex]V_{o}=0 m/s[/tex] is the runner’s initial velocity (assuming it started from rest)
[tex]a[/tex] is the runner's acceleration
[tex]t=2 s[/tex] is the time
Finding [tex]a[/tex]:
[tex]a=\frac{V}{t}[/tex]
[tex]a=\frac{8 m/s}{2 s}[/tex]
[tex]a=4 m/s^{2}[/tex]