A car traveling at a constant speed of 51.5 m/s passes a trooper on a motorcycle hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets out from the billboard to catch the car, accelerating at a constant rate of 2.00 m/s2. How long does it take her to overtake the car? Solve this problem by a graphical method. On the same graph plot position versus time for the car and the police officer. (Do this on paper. Your instructor may ask you to turn in this work.)
From the intersection of the two curves read the time at which the trooper overtakes the car.
The Attempt at a Solution
I don't have anything good to put here. I have no clue what I am doing on this question. I also have a question about a race car overtaking another race car and I have no idea of what to do on that one either. I would really appreciate a conceptual explanation over an answer, because I want to know how to do it for the future. Thank you!