MathematicsChapter 5: Kinematics of Motion in a Straight Line
Motion Graphs
Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
Learning objectives
- State the rule for motion graphs.
- Solve a motion graphs problem step by step.
- Check the result, restrictions, notation, and units.
Definition
Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
Where / symbols
- Motion graphs
- Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
CONCEPT AND RULE
Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
METHOD
For motion graphs, 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
A horizontal s-t segment means rest, not zero position.
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 motion graphs
- 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:
- A horizontal s-t segment means rest, not zero position.
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
- Motion graphs
- rule
- worked example
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Motion Graphs
Sticky Notes · Formula and Worked Revision
Core Idea
- Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
Rule / Formula
- Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
Method
- Identify givens and restrictions.
- Write the rule.
- Substitute and simplify.
- Check the result.
Worked Example
- A horizontal s-t segment means rest, not zero position.
Common Error
- Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
FBISE Exam Tip
- Show the formula, substitutions, algebra, restrictions, and final answer; method marks need visible reasoning.
60-second revision
- Slope of s-t is velocity; slope of v-t is acceleration; area under v-t is displacement.
- Worked pattern: A horizontal s-t segment means rest, not zero position.
- Final check: domain, sign, notation, units, and reasonableness.
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