1. Simulate a mass-spring-damper driven by a motor whose equations are shown below: m(t) + bi(t) + kx(t) = 2 i(t) di(t) v(t) = 0.02 + 2 i(t) +2.25 x(t dt with m=1 kg, k= 2 N/m, b=0.05 Ns/m for 5 seconds and an initial position of 0.1 m, initial velocity 0.1m/s, with no input (v(t) = 0), using a. ode45 function in a script b. Simulink Provide a picture of the Simulink diagram, the m-files used for both cases and separate plots of position, velocity, and the current through the motor as a function of time. [30] Solution: Type/Paste here 1. Simulate a mass-spring-damper driven by a motor whose equations are shown below: m(t) + bi(t) + kx(t) = 2 i(t) di(t) v(t) = 0.02 + 2 i(t) +2.25 x(t dt with m=1 kg, k= 2 N/m, b=0.05 Ns/m for 5 seconds and an initial position of 0.1 m, initial velocity 0.1m/s, with no input (v(t) = 0), using a. ode45 function in a script b. Simulink Provide a picture of the Simulink diagram, the m-files used for both cases and separate plots of position, velocity, and the current through the motor as a function of time. [30] Solution: Type/Paste here