Assuming zero initial condition, the response y(t) of the system given below to a unit step input u(t) is [Figure description: A single block diagram: input u(s) enters a block labelled 1/S (an integrator) and the output y(s) leaves the block.]
- A. u(t)
- B. (t^2/2) u(t)
- C. t u(t)
- D. e^-t u(t)
Answer: C. t u(t)
Explanation: Integrating a unit step input u(t) with zero initial conditions yields the unit ramp response y(t) = ∫₀^t u(τ) dτ = t·u(t).