Write a program to determine the average momentum of a collection of items with random velocities and masses. Do this using the following outline:

1. Construct a function named randVec that will take no arguments and return a dynamically allocated 3-element array of doubles. Each element in the array should be a randomly generated value in the range -100.0 through +100.0.

2. Using randVec and your momentum function from the previous part, generate momentum vectors for 1000 items, each of which has a random velocity (as described above) and a randomly generated mass in the range 1.0 through 10.0. Save the momentum vectors using a suitable array of pointers.

3. Determine and display the average momentum vector of the items using a for loop. [Hint: the average should be done component by component.]

This is what the code look like. The only thing cannot do is No.3, determining the average momentum vector. You can modify this code or start a new one!

#include #include #include #include

using namespace std;

double *momentum(double velocity[3], double mass)

{ double *arymntm = new double[3]; for (int i=0; i<3; i++)

{ arymntm[i] = velocity[i] * mass; } return arymntm;

}

double *randVec()

{ double *velVec = new double[3]; for (int i=0; i<3; i++) { velVec[i] = rand() %200+(-100); } return velVec; }

int main()

{

double mass[1000]; double *velocity[1000][3]; double *res[1000],sum[1000]; for (int it=0;it<1000;it++) { mass[it]=(rand() % 10)+1; *velocity[it]=randVec(); res[it]=momentum(*velocity[it],mass[it]); cout<<"Momentum values:"; sum[it]=0; for(int i=0; i<3; i++) { cout<