"Consider yourself driving with 60 miles/hour in a city that has only grid like streets, and your GPS is broken. The specifications of the problem are:• With (x, y) as the coordinates of the car, consider the initial position

(0,0)."At each intersection, the only directions available are North, South, East or West

The GPS is broken, and it chooses the direction randomly at each intersection, which happens every 5 minutes

The assumption is that the car has the same speed at all times, including when it changes direction and turns.

Write a program that calculates the distance from the initial point to the location point of the driver after one hour of driving.

see explaination

Explanation:

// Include the necessary header files.

import java.io.*;

import java.util.Random;

import java.lang.Math;

// Declare a class

public class GPS

{

// Definition of the function.

public static int randSel(int start, int fin)

{

// Declare the object of a class.

Random r = new Random();

// Declare an integer value and store

// value in it.

int rNum = r.nextInt((fin - start) + 1) + start;

// return value.

return rNum;

}

// Definition of the function.

public static double DistFromOrig(double X, double Y)

{

// Declare a double variable.

double dist;

// Calculate the distance.

dist = Math.sqrt(X * X + Y * Y);

// return distance.

return dist;

}

// Start the main method.

public static void main(String[] args)

{

try

{

// declare variables

double X = 0, Y = 0;

int time = 60;

final int NORTH = 0;

final int EAST = 1;

final int SOUTH = 2;

final int WEST = 3;

int Direction = 0;

// Start the while loop

while (time > 0)

{

// check whether the time is greater

// than 5 or not.

if (time >= 5)

{

// update the value of time.

time -= 5;

// call to the method.

Direction = randSel(0, 3);

if (Direction == NORTH)

{

// update the value of y cordinate.

Y = Y + 5;

// display the statement on console.

System.out.println("MOVED NORTH");

}

// Check the direction

if (Direction == EAST)

{

// update the value of x cordinate.

X = X + 5;

// display the statement on console.

System.out.println("MOVED EAST");

}

// Check the direction

if (Direction == WEST)

{

// update the value of x cordinate.

X = X - 5;

// display the statement on console.

System.out.println("MOVED WEST");

}

// Check the direction

if (Direction == SOUTH)

{

// update the value of y cordinate.

Y = Y - 5;

// display the statement on console.

System.out.println("MOVED SOUTH");

}

}

else

{

// Check the direction

if (Direction == NORTH)

{

// update the value of y cordinate.

Y = Y + time * 1;

time = 0;

}

// Check the direction

if (Direction == EAST)

{

// update the value of x cordinate.

X = X + time * 1;

time = 0;

}

// Check the direction

if (Direction == WEST)

{

// update the value of x cordinate.

X = X - time * 1;

time = 0;

}

// Check the direction

if (Direction == SOUTH)

{

// update the value of y cordinate.

Y = Y - time * 1;

time = 0;

}

}

}

// Display the statement on console.

System.out.println(

"Distance of Car After Traveling 1 Hr is "

+ DistFromOrig(X, Y)

+ " miles");

}

// Start the catch block.

catch (Exception e)

{

e.printStackTrace();

}

}

}