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...

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.]