Answer:
[tex]t=4.47s[/tex]
Explanation:
Hello,
In this case, since the car starts from from rest whereas the initial velocity is zero, we can compute the time via the following equation:
[tex]d=v_0*t+\frac{1}{2}at^2\\\\d=\frac{1}{2}at^2[/tex]
Which is solving by applying square root:
[tex]3.00t^2=2*30\\\\t=\sqrt{\frac{2*30m}{3.00m/s^2} }\\ \\t=4.47s[/tex]
Best regards.