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Re: For all you physics gurus...help me
| quote: | Originally posted by torontotrance
so if the skid marks say it took him 45ft to stop and he says he was going 60kph, is there anyway to figure it out via some formula if the dude is telling the truth. |
Ok, d = v*t + (1/2)*a*t^2 is your basic physics formula we're gonna use here.
The only problem is, we don't know how long it took for him to lay the 45ft of skid marks. So we'll swap crap around to get rid of the time element in the second part of that equation.
a = v/t so t = v/a
swap that into the second bit and we get:
d = v*t + (1/2)*a*(v/a)^2
stuff cancels and we are left with:
d = v*t + (v^2)/(2a)
so, in this equation:
d = braking distance
v = the speed the guy was going before he started braking
t = the idiot's reaction time
a = rate of decelleration
if we give this guy the benefit of the doubt, and say he has some kickass reaction time, t = 0.3 seconds
he says he was going 60km/h --> 17m/s approximately
and lets say his tires are ok and he has decent brakes, so he's decellerating at 1g = 9.81m/s^2
(It is unlikely that he was slowing down at this rate, since his tires were sliding on the asphalt).
So, plug that stuff in and you get a theoretical braking distance (from 60km/h to 0km/h), if he was a kickass driver and didn't lock up the brakes of: 20 meters. --> a little over 60 feet.
if you eliminate reaction time from the whole thing, and just look at from the point where his tires locked up to where he hit the car, then the distance is 45ft.
So, since the car didn't end up at 0km/h, millimeters away from the other car, after a 45ft brake lockup, you can be pretty confident that he was going quicker than 60km/h when he locked up the tires.
Sorry for the long post...time to watch Ali G.
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