Compute all parts of following problem given below:
Problem: A speeding car is traveling at a constant speed of 39m/s. A police car starts from rest just as the speeder passes it, and accelerates at a constant rate of 2.2m/s2. The maximum speed of the police car is 53.3m/s. Once the police car reaches maximum speed, it travels at a constant speed.
Part A: How long does the police car take to catch the speeder?
s
Part B: How far has each vehicle traveled?
m
Part C: If the police car starts 1.1s after the speeder passes it, how long does it take to catch the speeder?
s
Please provide me complete solution for the above problem so I can get right solution.