Exercise M6 Start with your script for M3 (three carts colliding), and update it to include user-defined functions for the final velocities of two carts involved in a one-dimensional elastic collision. ADDITIONAL DESIGN SPECIFICATIONS 8. Build a new script with a user-defined function to compute the final velocities of two carts, given the initial velocities and the masses of the carts. 9. Label the final velocities in a way that it is easy to "count" the collisions, without confusing carts with collisions. Output the final velocities of all three carts after each collision. 10. Check that total energy and total momentum are both conserved after each collision. Use the same labeling system as for the final velocities. Output the results. 11. Arrays and dot operations should be used to maximize efficiency