Gil, this is the basic of basic formulas but you still need a drag sled to get an accurate reading. If you don't have a drag sled you can use standard (f) for dry road, or grass, etc..
The formula is
speed=square root of 30 X Distance X f
f=coefficient of drag
F=force in pounds to move drag sled (need drag sled and weight scale)
W=Weight in pounds of drag sled
Most crashes you have to use average skid distances. Measure skidmarks and divide by number of skids. This would be Distance. This is if you have 100% brake efficiency. If not then you have to adjust
speed=square root of 30XdistanceXfXn
So if you have a front wheel drive that had all four wheels lockup you have 100% so n=1
If you had the front right wheel not working you would have lost 35% of your total effectiveness, therefore n=.65
Set these two equations equal to each other, then solve for speed:
speed = sqrt( 2 * force * distance / mass )
In a 1.0 g panic stop (seldom reached by most passenger cars, unless they have high performance sticky tires, or unless the car is a Caprice 9C1...), the brake_force will very nearly be equal to the weight (mass*gravity) of the car, so
brake_force = mass * gravity
[Aside: if the braking can't reach 1 g, then the brake_force will be some factor less than mass * gravity; e.g. brake_force = 0.9*mass*gravity for a 0.9 g panic stop). Gravity is a constant based on how much the earth pulls on you: 32.2 ft/(sec^2) or 9.81 meters/(sec^2)
So the speed equation reduces to:
speed = sqrt( 2 * gravity * distance )
g = 9.81 meters/(sec^2)
and in your example, distance is 121 feet (36.9 meters), so
speed = sqrt ( 2 * 9.81 * 36.9 ) = 26.9 m/s or 60.1 mph
There are many little items not shown in the above: the energy stored in the rotating mass (wheels, tires), the number of wheels involved in the stop, and the change of front-to-rear wheel loading due to the decceleration acting on the center-of-mass of the car. The devil in those details aren't worth posting here.
H50's post has similar math, I'm just showing where it comes from.
HTH. - Ken
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