The height in meters, y of a projectile, as a function of time is given by mato sin(0) gn?) to)-gm (t-to) +Yo where m 10kg is mass of projectile, = 0.1 is the coefficient of friction, to = 0 is the initial timing, 30 = y(to)-1m is the initial height. g = 9.8 is the gravitional constant, = 100 is the initial speed, = the angle of launch (FYI: The function y(t) is a solution of the differential equation my"(t)t)-mg, with constraints y(to) = yo and y'(to) = to sin(0).) 1. (20 points) Write a pseudocode of the bisection algorithm for computing the root of a real valued function. 2. (20 points) Implement your code as a Matlab function using the following input and outputs Input f(x)-The real valued function for which you want to find the root. a, b-An interval for which you think the root lies . tol-A tolerance maxiter - A maximum number of iterations. Output r-The approximate root of your function (lf(r)|