justin_dailey on Apr/14/03 said:
V = Velocity...although since direction is constant velocity just means speed. It would have to be the speed when you crossed the finish line.
D = Distance...or length of the car
T = Time or how long it takes for the car to travle one car length
Here's the very basic derivation of the formula:
V = D/T
TV = D
D/V = T
So if you want the time one car lenght takes take the length of the car and divide it by the speed at the end of the race.
you're not accounting for acceleration. that would work if it were a constant velocity problem but its not.
you could use x=xo+vot+.5at^2, where x is the distance, xo is 0, vo is 0, t is time, and assuming you knew the average acceleration of each car. you could then get a rough estimate of the difference in distance.
and to find average acceleration you could use
v^2-vo^2=2a(delta_x), where v is the final velocity, vo is 0, and delta_x is the distance (.25 miles).
but keep in mind it isnt going to be exact because acceleration isnt constant.