Car Chase
A car (c) with one headlight burned
out is traveling at a constant speed of 18 m/s and passes a stopped
police car (p). The car is pursued
immediately by the police cruiser, which has a constant acceleration
of magnitude 2.2 m/s2.
(a) How far does the police cruiser travel before catching the
other car?
(b) At what time will this occur? (Hint: Graphing may help to
visualize this problem.)
Correct!
Since the acceleration of the car is zero (constant
velocity) and we take x as measured from the position where the
two cars are together (x0c = 0), then
xc = x0c +
vct, with
x0c
= 0
or xc = vct
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