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Signals & SystemsSystem Response

A causal first-order system has H(s)=5/(s+5). Its unit-step response is?

  • A(1-e^(-5t))u(t)
  • B5e^(-5t)u(t)
  • Ce^(-t)u(t)
  • D5u(t)
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Correct Answer: A. (1-e^(-5t))u(t)
Explanation: For a unit step X(s)=1/s, Y(s)=5/[s(s+5)]=1/s-1/(s+5), giving y(t)=(1-e^(-5t))u(t).
Reference: Standard signals and systems: system response
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