Problem 54P

Two cars drive on a straight highway. At time t = 0, car 1 passes mile marker 0 traveling due east with a speed of 20.0 m/s. At the same time, car 2 is 1.0 km east of mile marker 0 traveling at 30.0 m/s due west. Car 1 is speeding up with an acceleration of magnitude 2.5 m/s2, and car 2 is slowing down with an acceleration of magnitude 3.2 m/s2, (a) Write x-versus-t equations of motion for both cars, taking east as the positive direction, (b) At what time do the cars pass next to one another?

Solution 54P

Step 1 of 4

For the given set of cars, we need to write the position time equation and the at which both car meet during the journey. The given problem can be pictorially represented as shown below