While
driving
along
the
highway
at
40
m/s,
you
spot
a
police
car
50
m
ahead,
traveling
at
a
constant
speed
of
30
m/s
which
is
the
speed
limit.
You
apply
the
brakes
and
begin
decelerating
at
1.0
m/s
2
.
Assume
that
the
police
officer
will
give
you
a
speeding
ticket
only
if
you
pass
her
car.
Will
you
get
a
ticket?
Justify
your
answer
numerically.
[Hint:
You
can
solve
this
problem
by
trying
to
solve
a
quadratic
equation;
look
closely
at
the
numbers!
Instead,
you
might
want
to
think
about
when
the
cars
have
equal
velocities.]
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