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Kinematic Equations of Motion

Kinematic equations of motion are formulae used to connect initial velocity, final velocity, acceleration, time, and displacement for uniformly accelerated motion.

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Main explanation

Teacher explanation

The three common equations are v = u + at, s = ut + 1/2 at², and = + 2as. They should be used only when acceleration is uniform. The correct equation is chosen by checking which quantities are given and which quantity is required.

Example

If a scooter starts from rest and accelerates at 2 m/s² for 5 s, v = u + at = 0 + 2 × 5 = 10 m/s.

Simple analogy

Given, asked, formula, substitute, unit.

Common confusion

Students often use these equations even when acceleration is not uniform, or they choose an equation containing an unknown that is not needed.

Exam tip

Write u, v, a, t, and s before selecting the formula; this prevents most substitution mistakes.

Study the kinematic equations of motion diagram carefully

Use the labelled diagram to keep kinematic equations of motion clear in short answers and revision.

What this diagram makes clear

This diagram keeps the labels and direction of kinematic equations of motion in the right order.

Where this helps in exams

Use this for labelled diagram work and short exam answers on kinematic equations of motion.

Revision cue

Revise kinematic equations of motion through the labels before writing the answer.

Answer writing and exam use

1-mark use

Write the exact meaning of kinematic equations of motion in one clean line.

2-mark use

Define kinematic equations of motion and add one example or condition.

3-mark use

Explain kinematic equations of motion, show the method or example, and mention the common mistake.

MCQ Quiz

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