1.1. If the cars moving along it stay on the highway, we can treat a highway as a one-dimensional track. Let's say that Cars A and B travel north along Interstate 5 in the following manner: Car A maintains an average speed of 72 km/h (about 45 mph). . Car B uses the carpool lanes and maintains an average speed of 100 km/h (about 62 mph). At exactly 9:15:00, Car A is 29 km north of the Oregon/Washington border and Car B is 13 km south of that border. (Note that time written as 0:00:00 represents hours:minutes:seconds.) (a) At what clock reading will Car B cross the Oregon/Washington border? (b) At what clock reading will Car B overtake and pass Car A? (c) At what position will this passing take place? (d) When Car B passes it, how far will Car A have traveled from where it was at t = 9:15:00? Check yourself by solving this problem in two different ways: First solve it graphically by plotting the two position versus time histories on the same diagram and reading the required numbers off your graph. Then solve the problem algebraically by writing down two equations: one for the position A of Car A as a function of clock reading t, and another for the position TB of Car B as a function of t. To do this, you must translate the verbal statement of the problem into symbols. You will then have two equations that you can set equal to each other to solve for the time that both cars are at the same position.