MathematicsChapter 5: Kinematics of Motion in a Straight Line

Constant Acceleration Equations

For constant a, v=u+at and s=s0+ut+(1/2)at^2 follow by integration.

Learning objectives

State the rule for constant acceleration equations.
Solve a constant acceleration equations problem step by step.
Check the result, restrictions, notation, and units.

Definition

For constant a, v=u+at and s=s0+ut+(12)at² follow by integration.

Mathematical form

u=5, a=2, t=3 gives v=11 and displacement 24.

v=u+at and s

t=3 gives v

Where / symbols

Constant acceleration equations: For constant a, v=u+at and s=s0+ut+(1/2)at^2 follow by integration.

CONCEPT AND RULE

For constant a, v=u+at and s=s0+ut+(12)at² follow by integration.

METHOD

For constant acceleration equations, identify the given information and required result. Select the matching definition or formula, state its conditions, substitute carefully, simplify one line at a time, and check.

WORKED EXAMPLE

u=5, a=2, t=3 gives v=11 and displacement 24.

COMMON MISTAKE

Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.

How to solve constant acceleration equations

Identify the mathematical objects, givens, restrictions, and required result.
Choose and write the relevant definition, theorem, or formula.
Substitute with brackets and carry out one justified step per line.
Simplify, state the final answer clearly, and verify it in the original setting.

Worked example

Worked example:
u=5, a=2, t=3 gives v=11 and displacement 24.

In simple words

Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.

Key points

Constant acceleration equations
rule
worked example

Exam preparation

Exam Focus

Quick revision

Revision Zone

Review the key facts, formulas and checks before you move on.