The stopping distance of car is proportional to the square of its velocity. So relation between stopping distance and velocity is,
[tex]\begin{gathered} d\propto V^2 \\ d=kV^2 \\ d=0.05V^2 \end{gathered}[/tex]
Determine the velocity of the car for stopping distance of 245 feet.
[tex]\begin{gathered} 245=0.05V^2 \\ V^2=\frac{245}{0.05} \\ V=\sqrt[]{4900} \\ =70 \end{gathered}[/tex]
The velocity of car is 70 mph, which is less than reckless speed considered by insurance company. So, insurance company provide full replacement of car.
