Apressure sensor has the transfer function that relates electrical output to an applied pressure g(s)-v( p(s) 5 s2 + 10s + 16 volts s) = = kpa (a) find the response p(t) of the transducer for a unit step input (1 kpa) (10 points) (b) calculate the steady state output usa (2 points), and error at t = 0.5 seconds. (2 points) (c) sketch an approximate response in the axes provided below using your answer to part (a). label your axes, and indicate steady state output.