The output 0.(t) of a second-order air robot system varies with time when active with a step input (1) following with the differential equation as below: d0 +140-180 (Given: The relationship for the system: Y(s) kes R(s) +250 + Given: 0,(0) (a) (b) (c) de dt (0)=0 0,(s) What would be the transfer function of 0,(s) What is the undamped angular frequency (e.)? What is the damping ratio (c)? (10 Marks) (5 Marks) (5 Marks)