Pointers in C++

Momentum is defined as the product of an items mass and its velocity. Mass is a scalar value, whereas velocity is generally expressed as a vector quantity with three components. The product of the scalar mass and the velocity yields momentum as a vector quantity.

Write a function named momentum that will accept as arguments a (i) one-dimensional velocity array with three values (type double) (i.e. a 3d vector) and (ii) a mass (type double), and return a dynamically allocated array representing the momentum. Note the momentum is determined by multiplying the scalar mass by each element of the vector array.

Test your momentum function by constructing a short main program that will ask the user to input values for the velocity and mass from the console, and then display the momentum.

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.]