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ZIMSEC A-Level Mechanics

6.11Linear motion under a variable force

Linear motion under a variable force in ZIMSEC A-Level Mechanics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic19 practice questions1 lesson
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Overview

Form 6.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.11.1Form 6: use differentiation to obtain velocity and acceleration, and express displacement as a function of time, velocity as a function of displacement and acceleration as a function of velocity.
  2. 6.11.2Form 6: solve problems on a particle moving under a variable force by setting up and solving differential equations.

Lessons

  • Motion under a variable force

    45 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Linear motion under a variable force: sample question

1 mark

A particle moves in a straight line so that its displacement from OO at time tt seconds is x=(t3−5t2+2)x = (t^3 - 5t^2 + 2) m. Find its acceleration when t=3t = 3.

Answer in m/s².

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