A car is travelling along a straight highway with a constant velocity of 10 m/s. Suddenly, the car starts to accelerate, INCREASING its speed at a constant rate of 3 m/s2 After 3 seconds of accelerating, how fast is the car going? After 5 seconds, how far is the car from its position when it started accelerating?

In a 25 storey building, the elevator starting from rest at first floor is accelerated at 0.8m/sec2 for 5 seconds then continues at a constant velocity for 10 seconds more and is stopped in 3 secs with constant deceleration. If the floors are 4m apart, at what floor does the elevator stop?

An express train passes through a station that is 220 m long. It enters with an initial speed of 22.5 m/s and decelerates at a rate of 0.14 m/s2 as it goes through. During what time interval, in seconds, is the front of the train within the station?  How fast is the train moving, in meters per second, when its front leaves the station?  If the train is 130 m long, how long, in seconds, after the front of the train enters the station does the end of the train leave the station?  What is the velocity of the end of the train as it leaves in m/s?

A car is speeding at 25 m/s (constant) in a school zone. A police car starts from rest just as the speeder passes and accelerates at a constant rate of 5.0 m/s². How fast is the police car traveling when it catches up with the speeder?