Question 3- (15 marks) A railroad bumper is designed to slow down a rapidly moving railroad car as shown in Figure 2. 7n Figure 2: railroad car and bumper. After the impact, railroad car's displacement x (in meters) and velocity v (in m/s) as a function of time t (in x(t) 4.219-632t) v(t) 26.67 e-632t-6.67 e-1.58t seconds) are given by: -158 t Marks awarded Open a new MATLAB script file and write a code to: (a) Determine x and v for every one hundredth of a second for the first two seconds after (7 marks) (3 marks) (5 marks) impact. (b) Plot both displacement vs. time and velocity vs. time curves in the same plot. (c) Format the plot like Figure 3 by adding title, labels, legend and grid. 20 15 10 0 0.2 04 06 0s 1 12 14 15 1,8 2 ime (seconds) Figure 3