show code and explain each step.

PROBLEM 1. A projectile is launched with an initial velocity vo = (8, 6,10). The initial position of the projectile is the origin in a coordinate system(0,1,1,k). You want to determine the time and position of the projectile when it hits a mountain, simulated in that coordinate system by the graph of the function h(x, y) = 5e -0.025((x15)2+(915)). Show all your numerical results to 15 digits of precision. Write the equation that must satisfy the time at the moment of impact. Implement in MATLAB the routine [x] = Bisection (Func, (ao, bo], maxlter), which returns in x the approximation of the root of the function Func when executing maxlter iterations. Use your code to get an approximation of the instant where the impact occurs, with a tolerance of 10, 10. Justify how you choose the initial interval and how you calculate the number of iterations that guarantees an approximation with that tolerance. Determine the coordinates (xi, yi, zi) of the projectile's position at the moment of impact. Using the following MATLAB functions: meshgrid, surf, plot3; illustrate scroll of the projectile