Question $6$

a$)$ What is the Characteristic equation, system poles and system zeros of the following transfer function?

$G(s)=\frac{(s+5)(s-14)}{s^3-5s^2-6s}$

b$)$ Given a power machine that transfer function its work done output force and power input V of

$G(s)=\frac{215{10}^{-3}}{2s+4}\frac{N}{W}$

i$)$ Find the response of the system when apply to a step input of $140$W$.$

ii$)$ Find the time taken to reach $90\%$ of the steady$-$state value.