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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 toy car moves on a straight track. Its distance from the start after tt seconds is s(t)=2t2+ts(t)=2t^2+t metres.
Total: 4 marks

(a) Find the average speed from t=1t=1 to t=3t=3. (1 mark)

(b) Find the instantaneous speed at t=2t=2. (1 mark)

(c) Compare the two values and explain why they are equal here. (2 marks)

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cbse-math-11.u4.t4-4.case.005

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