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Answer :
Final answer:
By applying the principles of physics and the equation of motion, it can be concluded that your car was indeed exceeding the speed limit when your vehicle began to skid.
Explanation:
The subject of this question deals with the physics of a vehicle in motion and its interaction with the road via friction, specifically when it begins to skid. The speed of the vehicle can be calculated using physics principles. The formula to determine the initial speed of the car (before braking) is (vf^2 = vi^2 + 2*a*d), where vf is the final speed, vi is the initial speed, a is the acceleration (which is actually deceleration in this case due to braking) and d is the distance (the length of skid mark).
Given that the final speed is 0 (as the car came to a stop), the length of the skid mark is 30.5 m and acceleration is due to friction which equals to coefficient of friction times gravity (that equals to 0.55*9.8 = 5.39 m/s^2), we can calculate that the initial speed was sqrt(-2*-5.39*30.5) = ~15.8 m/s.
This value is indeed above the claimed speed limit of 13.4 m/s, so the police officer was right in this case.
Learn more about Vehicle Skidding & Physics here:
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