I dare say that even this approach has not been presented elsewhere. The below shows the braking distance, calculated by using the formula in physics. The reaction time is generally accepted one second. This gives the travelled total stopping distance, for example a speed of 50 km/h, 26,2 m. Another method at the right is using natural logarithms.
Braking on a dry and clean asphalt
Speed Reaction time Braking Tot. Logarithmic Calculation
km/h m m m
30 8.33 4.42 12.8 Known data 13 m
40 11.1 7.9 19,0 40/(Ln pii)6 = 17.8 m
50 13.9 12.3 26.2 50/(Ln pii)5 = 25.5 m
63 17.5 19,5 37.0 63/(Ln pii)4 = 37.0 m
80 22.2 31.4 53,6 80/(Ln pii)3 = 53.3 m
100 27,8 49,2 77,0 100/(Ln pii)2 = 76.3 m
120 33,3 70.6 103,9 120/(Ln pii) = 104.8 m
125 34.7 76.6 111.3 125/(Ln pii) = 109.2 m
Visual Geometry
The stopping distance is increased by a factor of
1,252 /1,03(3)2 = 1,4641
When the speed is increased by 25 %, increases the stopping distance, but proportionally reduces. The stopping distance "get tired", as a runner get tired.
Stopping distance is four-dimensional phenomenon, involving dimensionalities of length, width, height and time. Time is assiciated to time dilation, which is part of the essence of value space. After these comes proportionality in things, including the value of the golden ratio 1.618.
The value space
Pascal's Triangle
1 dim 1.1
2 dim 1.1 x 1.1 = 1.21
3 dim 1.1 x 1.1 x 1.1 = 1.331
4 dim 1.1 x 1.1 x 1.1 x 1.1 = 1.4641 Length - Width - Height - Time
Proportion 1.1 x 1.1 x 1.1 x 1.1 x 1.1 = 1.61051 (The Golden ratio 1.618)
EP-calculated stopping distances
km/h Stopping distance Calculation
30 12.8 13 m the known data
40 19.0 13.00 m x 1.4641 = 19.03 m 1.
50 26.2 19.03 m x 1.4641 / 1.033 = 26.97 m 2.
63 37,0 26.97 m x 1.4641 / 1.033 = 38.22 m 3.
80 53.6 38.22 m x 1.4641 / 1.033 = 54.18 m 4.
100 77.0 54.18 m x 1.4641 / 1.033 = 76.79 m 5.
125 111.3 76.78 m x 1.4641 / 1.033 = 108.83 m
The speed of 100 km can calculate:
13 m x 1.46415 / 1.0334 = 76.80 m
The calculated 76.79 m is the exact value
EP-Calculation accuracy is five steps
The fifth step of the time dilation are values of 0.25 and 1.033
Many of the readers say them to be better brakers than the table shows. My best heard is 21 meters starting from 100 km/h. The tabled value 49.2 m. That was a motor cycle and police did measure the braking length. Now this is up to you believe the braking distance, but then we have a new physics.
Braking Distance in Physics
The Car Stopping Distance
The Car Stopping Distance Logarithmically
13.2.2015*9:45 (1011 - 420)
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