Mathematical Modeling - Spring 2001 Hello! My project deals with
two scenarios that I encounter whenever I am behind the wheel of
my car: The distance needed to safely enter onto a street
without causing others to slow down. and 2) The necessary
distance to accelerate the to flow of freeway traffic. First, I
wanted to generate a formula that would represent the distances
for both cars. Car A is the car that approaches Car B, which
wants to enter traffic from rest. I began by using the formula
for distance: D = r*t, where D is distance, r is rate, and t is
time. For Car A, I assumed that its rate was a constant, 40 mph.
Since the rate is constant, the formula for Car A would be 40t.
However, I had to consider the distance between the cars once
Car B wants to enter traffic. I use s to represent this
distance. Thus, my formula for the distance of Car A is 40t - s.
Finding the distance formula for Car B was a little more tricky.
Since its starts from rest and has to accelerate, I assumed that
its rate would not b