Answer
61.5 meters
Work Step by Step
In part a we found that it takes 5 seconds for the car to stop. To find the distance traveled in this time we can use the equation:
$v^2 = v0^2 + 2a\Delta x $ where again v0 = 24.6m/s, v = 0 and a = -4.92 $m/s^2$
$ 0 = (24.6)^2 + 2(-4.92)\Delta x $
Solving for $\Delta x$ we find that it is 61.5 m