This question relates to the motion of a freewheeling car slowing down due to a drag force acting upon the car and involves the solution of a first-order differential equation using matrix methods. a) The equation of motion of the car is given by the following equation. m de =-kv Briefly explain the meaning of each term and using the relationship below transform the equation above into a simple matrix equation relating the four velocities g. P, P2. P. Assume m=1,At=0.1 and k= 3.0 du dt PP-1 At [10 marks] b) Assuming m 1,4t = 0.1 and k = 4.0 that when t = 0. v 3 determine the velocity's 23 by solving the matrix equation derived above. [10 marks] c) If you were tackling a problem such as the one above how would you choose a suitable I value for Ar? What problems might you have if it is too big or too small? [5 marks]