johnsher wrote:
willcove wrote:
I'd be very surprised if the police car was doing less than 120
could the passenger have survived such an impact? Or should I say, the passenger in the merc did survive, could the impact speed really have been that high?
From the photo and the satellite image, my best reckoning is that the Shogun was shoved 75 metres or more sideways on grass. A quick experiment suggested that dynamic friction required a force of 0.5 kgf to keep a 1kg bag of flour on a tin tray moving over grass - which equates to a deceleration of about 0.5 G, or about 5 metres per second per second.
Let the velocity of the shoggie in the direction of the road immediately after impact be V1 and the velcocity when the Shogun has come to rest be V2. Now V2 = 0 (i.e. at rest).
The average velocity of the Shogun is its velocity at the start of the slide (V1) plus the velocity at the end of the slide (V2, or zero) divided by 2:
Va = (V1 + 0)/2 = V1/2 .... (1)
But the average velocity is also the distance (75m) divided by the time taken to cover that distance (let this time = t):
Va = 75/t .... (2)
Substituting for (2) in (1):
75/t = V1/2
Thus V1 = 150/t .... (3)
Now assuming constant deceleration, deceleration (let this be "A") is the rate of change of velocity:
A = (V1 - 0)t = V1/t
But A = 5 metres per second per second, so
5 = V1/t
Thus t = V1/5 .... (4)
Substituting for (4) in (3)
V1 = 150/(V1/5)
Thus V1^2 = 750
Thus V1 = 27.4 m/s, which is about 60 mph.
So, based on my simplified analysis, the impact accelerated the Shogun from rest to about 60 mph in the direction of the road. There is considerable scope for error. Nonetheless, it does give an order of things and hence my belief in the speed of the police car.
HTH,