In an exercise offered by a police school,
the students are required to pursue a passing car using a police car.
What is known:
- The passing car has a constant velocity of 80 mph when it passes
the police car.
- The police car's velocity can be modeled as
where v is in mph, and t is in hour.
- The police car starts at rest. The maximum velocity of
the police car is 120 mph.