For the Jet Car system shown in figure, consider the thrust T(t) as input variable and the velocity v(t) as output variable. Tt) Assume b = 6 Ns/m and m = 987 kg. Respond to the following questions: 1. What is the transfer function of such system? 2. What is the order of the system? Why? 3. Determine the pole(s) of the system 4. Is the system stable? Why? 5. What is the numerical expression of the impulse response (response to T(t) = 8(t))? Plot this response using Matlab and attach figure and .m source script to the report. 6. Determine the time constant 7. How long will it take to the impulse response to reach 80% of the initial value? 8. What is the numerical expression of the step response (response to T(t) = 3 N)? Plot this response using Matlab and attach figure and .m source script to the report. 9. Determine the rise time 10. Determine the settling time 11. How long will it take to this step response to go from 20% to 80%? 12. Maintaining the value of b, what is the value of m that would reflect into a settling time a 140 s? For the Jet Car system shown in figure, consider the thrust T(t) as input variable and the velocity v(t) as output variable. Tt) Assume b = 6 Ns/m and m = 987 kg. Respond to the following questions: 1. What is the transfer function of such system? 2. What is the order of the system? Why? 3. Determine the pole(s) of the system 4. Is the system stable? Why? 5. What is the numerical expression of the impulse response (response to T(t) = 8(t))? Plot this response using Matlab and attach figure and .m source script to the report. 6. Determine the time constant 7. How long will it take to the impulse response to reach 80% of the initial value? 8. What is the numerical expression of the step response (response to T(t) = 3 N)? Plot this response using Matlab and attach figure and .m source script to the report. 9. Determine the rise time 10. Determine the settling time 11. How long will it take to this step response to go from 20% to 80%? 12. Maintaining the value of b, what is the value of m that would reflect into a settling time a 140 s?