Level 3 Integration Walkthrough
2021 NCEA Level 3 Integration Question 1(c)
2021 Integration
Walkthrough overview
What this question practises
This 2021 walkthrough is part of AS91579 — Apply integration methods in solving problems.
Method: Integrating acceleration twice with initial conditions.
This is Question 1(c) from the 2021 NCEA Level 3 Integration paper for AS91579 — Apply integration methods in solving problems. Use the guided hints to practise the method before revealing the full working.
Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91579.
Page updated .
Learning summary
Review the method, not only the answer
This walkthrough helps you practise integrating acceleration twice with initial conditions. Use the hints to plan the method, then repeat the question without hints and check each step.
Common mistake to avoid
Check the antiderivative by differentiating it, and handle constants and bounds explicitly.
Continue practising
- All 2021 Integration walkthroughs
- All AS91579 Integration years
- Practise more questions using this skill: Antidifferentiation