Case study·Hard exam skill (4/5)·No calculator
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
A rescue package is released from an aircraft flying horizontally at at a height of . Ignore air resistance and take .
Total: 5 marks
(a) Find the time taken by the package to reach the ground. (1 mark)
(b) Find the horizontal distance covered before landing. (1 mark)
(c) Find the vertical component of velocity just before impact. (1 mark)
(d) Explain why the package remains below the aircraft if the aircraft continues with the same horizontal velocity. (2 marks)
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