Problem 5: A block moves in a straight line on a frictionless surface. Drag force acts on the block, according to the equation F = Cmv, where constant C = 0.12 m, mass m = 200 kg, and v is the velocity. At time t = 0, it is known that v(0) = 10 m/s and the position is x(0) = 0 m. a. Draw a FBD and Kinetic Diagram (KD, or MAD) for the block (Neglect friction). Use Newton's 2nd Law to find an expression of the acceleration of the block in terms of velocity. b. Use Euler's Method with a timestep of 0.01s, estimate the velocity and position at t = 0.01s with hand calculations (not Matlab). Show all your work. c. Show the state space representation for the system at t = 0s and t = 0.01s. i.e., show your answers for part (b) in the form [*] and Check your solutions: (b) t 0.01 s x(t) 1.0 m v(t) 9.88 m/s (c) At t = Os: 10 [] = [10m/s] |] = [-12 m/s] At t = 0.01s: 9.88 m/s [] = [9.88 m/s] |] = [11.71 m/s