A speeder traveling at a constant speed of

102 km/h races past a billboard. A patrol car
pursues from rest with constant acceleration
of (9 km/h)/s until it reaches its maximum
speed of 146 km/h, which it maintains until it
catches up with the speeder.
How long does it take the patrol car to
catch the speeder if it starts moving just as
the speeder passes?
Answer in units of s