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Speeding Up and Slowing Down
Motion speeds up when v and a have the same sign and slows when their signs differ.
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Speeding Up and Slowing Down
What is it?
Motion speeds up when v and a have the same sign and slows when their signs differ.
In simple words
- Motion speeds up when v and a have the same sign and slows when their signs differ.
- Worked pattern: If v<0 and a<0, speed increases.
- Final check: domain, sign, notation, units, and reasonableness.
Important terms
Speeding up and slowing down: Motion speeds up when v and a have the same sign and slows when their signs differ.
What you should learn
- State the rule for speeding up and slowing down.
- Solve a speeding up and slowing down problem step by step.
- Check the result, restrictions, notation, and units.
Recommended for Class 12
Full school-level explanation
Motion speeds up when v and a have the same sign and slows when their signs differ.
CONCEPT AND RULE
Motion speeds up when v and a have the same sign and slows when their signs differ.
METHOD
For speeding up and slowing down, 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
If v<0 and a<0, speed increases.
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 speeding up and slowing down
How it works
- 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.
Remember
- Speeding up and slowing down
- rule
- worked example
- worked example
How the ideas connect
Worked example: If v<0 and a<0, speed increases.
Deeper understanding
Go beyond memorising Speeding Up and Slowing Down. Connect the definition to reasons, relationships, exceptions, and exam wording.
How the ideas connect
Worked example: If v<0 and a<0, speed increases.
Common mistakes
Exam focus
Core Idea
Rule / Formula
Method
Worked Example
Exam focus
Quick revision
- Speeding up and slowing down
- rule
- worked example
- Speeding up and slowing down: Motion speeds up when v and a have the same sign and slows when their signs differ.
- CONCEPT AND RULE: Motion speeds up when v and a have the same sign and slows when their signs differ.
- METHOD: For speeding up and slowing down, identify the given information and required result. Select the mat
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
For long answers on Speeding Up and Slowing Down: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- Speeding up and slowing down
- rule
- worked example
- Speeding up and slowing down: Motion speeds up when v and a have the same sign and slows when their signs differ.
Important formulas
- Speeding up and slowing down
- rule
- worked example
Common exam traps
- Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
- A matching-looking formula is not valid until its conditions and domain have been checked.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
- Mistake
A matching-looking formula is not valid until its conditions and domain have been checked.
- Mistake
Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all domain or interval conditions.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
Speeding up and slowing down
rule
worked example
Speeding up and slowing down: Motion speeds up when v and a have the same sign and slows when their signs differ.
Motion speeds up when v and a have the same sign and slows when their signs differ.
- Definition
- Motion speeds up when v and a have the same sign and slows when their signs differ.
- Critical warning
- Write the governing rule before substitution, keep brackets and signs visible, and check that the answer satisfies all d
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Exam Practice
Define
Q1. Define Speeding Up and Slowing Down.
Explain
Q2. Explain: CONCEPT AND RULE.
Example
Q3. Give one clear example of Speeding Up and Slowing Down and say why it fits.
Mistake
Q4. State one common mistake students make about Speeding Up and Slowing Down.
Exam note
Q5. Write a short exam note on Speeding Up and Slowing Down: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.