Practice Explain Why The Second Differences Of Curve Elevations Are Equal For A Parabolic Curve. (2.42)

Practise this section

9 questions

Flashcard drill
3 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 a parabolic curve.
Show hintHide hint
Remember the equation form y = ax² + bx + c.
Question 2.
What are second differences in terms of elevation?
Show hintHide hint
Think about how you find the differences in a series of values.
3Question 3.
What type of equation defines a parabolic curve?
- Linear
- Quadratic
- Cubic
Show hintHide hint
Recall the form y = ax² + bx + c.
4Question 4.
Are the second differences of a parabolic curve equal?
- True
- False
Show hintHide hint
Think about the mathematical characteristics of parabolas.
Question 5.
Given a parabolic equation y = 2x² + 3x + 4, calculate the second differences for x = 0, 1, 2, and 3.
Show hintHide hint
Focus on calculating successive differences at equal intervals.
Question 6.
If a road is designed with a parabolic vertical curve connecting a 5% to a 1% gradient, what elevation modeling will ensure second differences remain equal?
Show hintHide hint
Map how gradients could be approached using quadratic functions.

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