Answer:
[tex]a = 1.07 m/s^2[/tex]
Explanation:
As we know that the runner starts from rest position
So here we can say
[tex]v_i = 0[/tex]
now the distance moved by the runner is given as
[tex]d = 30 m[/tex]
also we know that final speed of the runner will be
[tex]v_f = 8 m/s[/tex]
now we know that
[tex]v_f^2 - v_i^2 = 2 a d[/tex]
[tex]8^2 - 0 = 2(a)(30)[/tex]
[tex]a = \frac{64}{60}[/tex]
[tex]a = 1.07 m/s^2[/tex]