GUI- Cop Catching up with speeder scenario

Question

Here's the problem:
A state trooper spies a speeding car going at a speed of 100 miles/hour on I-95. The trooper's car can accelerate as much as 12 miles/hour/second.
* Write a simulator and GUI for this problem. Your GUI should have "Go" and "Quit" buttons, should depict the two cars going across from left to right and should show the point the two cars meet. Your simulator should find the distance traveled for each car as a function of time.
* At what time and distance does the trooper catch up with the speeding car?
* What is the trooper's speed at the moment they catch up?
* Plot the velocity function for each car.

Answer 1

ok so i'm kinda on my feet here.. and this is what i've got so far
import java.util.*;
public class ChaseSimulator
     public static final double STEP_LENGTH = 0.2;
     public static final int MAX_STEPS = 10000;
     Car speeder = null;
     Car cop = null;
     boolean caught = false;
     double finalTime = 0;
     public ChaseSimulator()
          speeder = new Car("Speeder", 0, 100, 0, STEP_LENGTH);
          cop = new Car ("Cop", 0, 0, 12, STEP_LENGTH);
          caught = false;
          finalTime = 0;
          simulate();
     public void simulate()
          for (int i=0; i < MAX_STEPS; i++) {
               speeder.takeTimeStep();
               cop.takeTimeStep();
          System.out.println(speeder.toString());
          System.out.println(cop.toString());
class Car
     double pos, vel, acc;
     double stepLength;
     String name;
     public Car(String name, double s_i, double v_i, double a_i, double stepLength)
          this.name = name;
          pos = s_i;
          vel = v_i;
          acc = a_i;
          this.stepLength = stepLength;
     public double getS() { return pos; }
     public double getV() { return vel; }
     public double getA() { return acc; }
     public void takeTimeStep() {
          pos += stepLength*vel;
          vel += stepLength*acc;
     public String toString() {
          String result = "";
          result += "Current Position=  "+ pos + ", Current Velocity= " + vel + ", Current Acceleration= " + acc;
          return result;
}So, I made a text-based version of it with toStrings and what-not just so i could see if the velocities were working (they are). But what im really confused about is how the gui will work. Can you shed any light on that?