Practice Laplace Transforms & Applications (9) - Laplace Transform of Unit Step Function

Practise this section

9 questions

Flashcard drill
4 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
Sign up to start the exercise
Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
Sign up to start the quiz

6 sample questions

Question 1.
Define the unit step function.
Show hintHide hint
Think about its representation in terms of 'a'.
Question 2.
What is the Laplace Transform of u(t)?
Show hintHide hint
Consider what happens in the frequency domain.
3Question 3.
What is the Laplace Transform of the unit step function u(t-a)?
- e^{-as}/s
- as/e^{-s}
- 1/s
Show hintHide hint
Recall the general formula for shifts.
4Question 4.
True or False: The unit step function is continuous.
- True
- False
Show hintHide hint
Think about how the function behaves at the switching point.
Question 5.
For a function g(t) = 3t * u(t-4), find the Laplace Transform.
Show hintHide hint
Remember to shift 't' by the delay 'a'.
Question 6.
Model a physical system using the unit step function and solve its corresponding differential equation.
Show hintHide hint
Translate the forces into the terms of the differential equation first.

5 more questions in this section. Enroll free to practise them all.