Constant Acceleration Problem
A motorist traveling with a constant velocity of 15 m/s passes a school-crossing corner. Just as the motorist passes, a police officer stopped on the corner starts off in pursuit with constant acceleration of 2.5 m/s^2 until her speed is 20 m/s. Then she slows down at a constant rate until she comes alongside the car at x = 360m, traveling the same speed of 15 m/s as the car.
a) At what time does the officer catch up to the car?
b) At what time does the officer change from speeding up to slowing down?
b1) At this time, how far is the officer from the stop sign?
b2) How far behind the car is she?
c) Find the acceleration of the officer while she is slowing down.
Following is the text part of the solution. Please see the attached file for complete solution. Equations, diagrams, graphs and special characters will not appear correctly here.
Officer catches up with the car at 360 m from the school-crossing corner. The time it took for the officer to travel this distance is same as the time it ...
Each step is clearly shown. Motion of the two vehicles is shown in a diagram. Solution is easy to understand and the student will be able to use the same technique to solve similar questions in future.