Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

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 point is displaced first by a=2i^+3j^\vec a=2\hat i+3\hat j and then by b=i^+4j^.\vec b=-\hat i+4\hat j. Use the head-to-tail sketch.
Total: 4 marks

(a) Find the resultant displacement. (1 mark)

(b) Find its magnitude. (1 mark)

(c) If the point starts at the origin, find its final position. (2 marks)

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