Question 5 (Numerical Methods and Simulink) The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is LÖ + ge = a(t) cos 0 Suppose that g=9.81 m/sec², L=1 m, and ė (0) = 0. Obtain Numerical solution using built-in numerical solver and Simulink for the following three cases. Produce animation of the pendulum motion for 0 < t < 15 sec. a. The acceleration is constant: a(t)=5 m/sec², and, 0(0)=0.5 rad. b. The acceleration is constant: a(t)=5 m/sec², and, 0(0)=3 rad. c. The acceleration is linear with time: a(t)=0.5t m/sec², and, 0(0)=3 rad.