Solve the all parts of following question given below:
Question: A car is going with a constant speed of 15 m/s (about 34 mph) in a school-crossing corner, where the speed limit is 10 m/s (about 22 mph). A police car, stopped at the corner, starts off in pursuit with constant acceleration of 3.0 m/s2.
Part I: How much time does it take for the police car to catch up this car?
Part II: What is the speed of the police car at that point?
Part III: What is the distance traveled at that point?
Please show all work and steps to determine the speed of the police car at that point.