Prior Content: AS Differentiation, AS Integration, IGCSE Differentiation, Forces & Connected Particles
Previous Section: Forces & Connected Particles
Next Section: AS Mechanics General Support
Contents
- Whole Topic Notes
- 11A Functions of Time
- 11B Differentiating Between x, v, a
- 11C Maxima & Minima
- 11D Integrating Between x, v, a
- 11E Deriving SUVAT
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Variable Acceleration Section
- Dr Frost Variable Acceleration Slides✦
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
11A Functions of Time
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (Up to 15:42)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions Very Short and mainly limited to stationary when v=0. I strongly suggest accompanying this with textbook questions.
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 558b: Determine when a particle is instantaneously at rest, given an expression for the velocity.
- 558c: Determine when a particle is instantaneously at rest, given an expression for the displacement.
- 558k: Sketch a velocity-time graph given an expression for the displacement.
- 558: Exam Practice: Calculus in kinematics for motion in a straight line, e.g. v = dr/dt, in 1 dimension
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
11B Differentiating Between x, v, a
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths (From 15:42)
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions
- Dr Frost Questions (With Vectors for an extension)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 558a: Use differentiation to find an expression for the velocity or the acceleration of a particle.
- 558d: Use differentiation once to find the velocity or acceleration of a particle at a given instant.
- 558e: Use differentiation twice to find the acceleration of a particle at a given instant.
- 558: Exam Practice: Calculus in kinematics for motion in a straight line, e.g. v = dr/dt, in 1 dimension
Other resources
Other Videos
Courtesy of Maths Genie (From 5:17)
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- WW IGCSE PPQs by Topic Differentiation – look for Orange Q’s (Some Stationary Points Q’s Here Too)
- MadAsMaths (T. Madas)
- Kinematics Using Calculus (M1/M2) Scalar Form Q1, 3, 7 (difficulty 2–3 of 5)
Online Platforms
- Khan Academy
- Motion problems with differentiation: Videos & practice
11C Maxima & Minima
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 558l: Determine the maximum displacement or velocity reached of a particle.
- 558: Exam Practice: Calculus in kinematics for motion in a straight line, e.g. v = dr/dt, in 1 dimension
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie (Up to 3:15)
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- WW IGCSE PPQs by Topic Differentiation – look for Orange Q’s
Worksheets
- MadAsMaths (T. Madas)
- Kinematics Using Calculus (M1/M2) Scalar Form Q10, 12, 13, 17 (difficulty 3–4 of 5)
11D Integrating Between x, v, a
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Exam Practice
*Note 2D vectors calculus is not covered in the book, but is good practice ahead of A2 content with 3D Vectors.
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 558f: Use integration once to find an expression for the displacement or the velocity of a particle.
- 558g: Use integration twice to find an expression for the displacement of a particle.
- 558h: Use integration once find the displacement or the velocity of a particle at a given instant.
- 558i: Use integration twice find the displacement of a particle at a given instant.
- 558j: Show that the displacement or velocity is always positive.
- 558m: Determine the distance travelled where the velocity changes between positive and negative throughout the journey.
- 558n: Solve problems involving variable acceleration where two objects meet.
- 558o: Use a velocity-time graph or other sets of data to determine multiple unknown coefficients for a quadratic expression for velocity.
- 558: Exam Practice: Calculus in kinematics for motion in a straight line, e.g. v = dr/dt, in 1 dimension
Further Practice
Other resources
Other Videos
Courtesy of Maths Genie (From 3:15)
MindofMatthew
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Worksheets
- JennyF100 A Day at the Races (TES Account Required)
- MadAsMaths (T. Madas)
- Kinematics Using Calculus (M1/M2) Scalar Form Q2–6, 8–11, 13–19 (difficulty 2–4 of 5)
Online Platforms
- Khan Academy
- Motion problems with integration: Videos & practice
11E Deriving SUVAT
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Algebraic Models (Calculus)
External Whole Topic Past Paper Style Questions
- WW Dr Frost Style QQQs (Version 1) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- WW Dr Frost Style QQQs (Version 2) Word Doc, PDF (Q’s Only) or PDF (Q’s & Sol.)
- Jethwamaths Starter Activities
- Naikermaths PPQs✦
- Mathsaurus Mixed Exam Boards PPQs (Video Solutions Pending)
- PMT
Other Whole Topic Resources
- Lucyjc1612 Summary Poster (Variable Acceleration)
- Exam Solutions Video with Examples Section✦
- Mr Draper Maths Reasoning With Variable Acceleration
Worksheets
- Maths Genie
- Variable Acceleration: Questions · Solutions · Lesson · Topic page
- Mathsaurus (Kevin Olding)
- Naiker Maths
- Variable Acceleration: Exam Qs 2005–11 · Mark scheme
- Physics & Maths Tutor
- Kinematics: Problems in Calculus: Questions 2021–24 · Mark scheme · Model answers · Questions 2018–21 (with MS) · Model answers
- GeoGebra
Activities
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.