Speeding Blind Truck Driver
2006
minimum distance… physics?
Suppose that a senior driving a Pontiac zooms out of a darkened tunnel at 34.2 m/s. She is momentarily blinded by the sunshine. When she recovers, she sees that she is fast overtaking a truck ahead in her lane moving at the slower speed of 13.9 m/s. She hits the brakes as fast as she can (her reaction time is 0.26 s). If she can decelerate at 2.0 m/s2, what is the minimum distance between the driver and the truck when she first sees it so that they do not collide?
does anyone have steps with formulae to use… i’m lost..
this is what i did:
i used Vf^2= Vi^2 +2ad to find d for the car, then d=Vit+
1/2at^2 to find the d during the reaction time… added
those two …. then minused the d of the truck during
reaction time using the d=Vit+1/2at^2 … with accel = 0 …
what am i missing??
help?
thanks
is there anyway to do this without graphing it??
because apparently i cant do that either….
thanks guys!
Assume di=distance initial, or the initial distance between the truck and car
the best way to do this is to graph separate path equations for the path of the truck(linear) and the path of the car(parabolic)
In these graphs, the only unknown should turn out to be the di of the truck, which is what you’re trying to solve for
Subtract the equation of one graph from the other
It doesn’t matter which one you subtract from the other, but i would subtract in a way that di is still positive
now solve for di so that the graph intersects the x-axis at only one point
PA Truck Drivers – How Dare You Drink or Drug While Driving? Truck Accident Lawyers for Pennsylvania
Comment