Questions 1 [50 marks] The upward velocity of a rocket can be computed by the following formula: mo vuln- mo-qt Where v = upward velocity, u the velocity at which fuel is expelled relative to the rocket, mo the initial mass of the rocket at time t = 0. q=the fuel consumption rate, and g= the downward acceleration of gravity (assumed constant = 9.81 m/s²). If u = (ABCD) m/s, mo= (AFABCA) kg, and q = (ADAB) kg/s: Compute manually the time at which v = 750 m/s using Secant method and modified Secant method. Determine your result so that it is within 1% of the true value. Obtain the true value using graphical method (e.g. using Microsoft Excel). Your solution should be made by handwriting. The marks shall be distributed as follows: Stating the function to be solved Stating the solution methods [5 marks] [5 marks] Each iteration including the new estimate of time and approximate error of each iteration (4 iterations per method are needed. If convergence occurs before 4 iterations, full mark for this part will be given) [5 marks] Question 2 [50 marks] Write an Octave code to solve a typical problem in Question 1 and use the data given to find the required time. The following are required in the code: An input section where the user shall input the problem specific data A processing section where the Secant/modified Secant method is used [10 marks] [30 marks] An output section where the results are printed. Also, add a plot of error versus iteration number and limit the number of iterations to 100 iterations only. The user shall select which method to use. [10 marks] Page 2 of 2