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 sensor records the displacement of a small oscillator as x=5cos(πt)x=5\cos(\pi t) cm, where tt is in seconds.
Total: 4 marks

(a) Find the amplitude. (1 mark)

(b) Find the time period. (1 mark)

(c) Find the displacement at t=0.5 st=0.5\text{ s}. (1 mark)

(d) State whether the oscillator is at an extreme or at the mean position at t=1.0 st=1.0\text{ s}. (1 mark)

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cbse-physics-11.u10.t10-1.case.005

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