Answer: The car was moving with the speed of 14.13 m/s.
Explanation:
Length of the skid marks,d = 34 m
Mass of the car = 825 kg
Coefficient of friction = [tex]\mu =0.300[/tex]
Velocity of the car after applying the brakes =v
Acceleration due gravity = [tex]9.8 m/s^2[/tex]
[tex]d=\frac{v^2}{2\mu g}[/tex]
[tex]34 m=\frac{v^2}{2\times 0.300\times 9.8 m/s^2}[/tex]
[tex]v^2=34 m\times 2\times 0.300\times 9.8 m/s^2=199.92 m^2/s^2[/tex]
v = 14.13 m/s
The car was moving with the speed of 14.13 m/s.