Final answer:
The initial speed of the car was 12.2 m/s.
Step-by-step explanation:
To find the initial speed of the car, we can use the equation v^2 = u^2 + 2as, where v is the final velocity (0 m/s), u is the initial velocity, a is the acceleration (-5.00 m/s^2), and s is the distance traveled (15.0 m). Rearranging the equation, we get u = sqrt(v^2 - 2as). Plugging in the values, we get u = sqrt(0 - 2*(-5.00)*15.0) = sqrt(150.0) = 12.2 m/s.