Answer: 137.5m
Explanation:
We are given the acceleration, the initial velocity, and implicitly given the final velocity. It wasn't stated, but the final velocity is zero. The car will eventually come to a stop. We can use the kinematic formula below to find the displacement given the initial conditions:
[tex]v_f^2=v_i^2+2ad[/tex]
[tex]0^2=55^2+2(-11)(d)[/tex]
[tex]-55^2=-22d[/tex]
[tex]55^2=22d[/tex]
[tex]3025=22d[/tex]
[tex]d=137.5m[/tex]