Form 5 · Revision
Kinematics of Linear Motion, Revision Notes
Concise revision notes for Kinematics of Linear Motion, every content standard, the exam formulae, and how to revise so the marks follow.
What to revise
These notes cover Kinematics of Linear Motion, chapter 8 of Form 5 SPM Additional Mathematics. The chapter is built from 4 content standards, listed below with exactly what each expects you to be able to do.
Revise them one standard at a time: understand the idea, learn the method, then practise until the working is automatic. Because SPM marking is analytic, clear, ordered working protects your marks even when a final answer slips, so treat neat layout as part of the revision, not an afterthought.
The content standards
| Code | Content standard | What you must be able to do |
|---|---|---|
| 8.1 | Displacement, Velocity and Acceleration as a Function of Time | Describe and determine instantaneous displacement, instantaneous velocity, instantaneous acceleration of a particle.; Determine the total distance travelled by a particle in a given period of time. The displacement function is limited to linear and quadratic. |
| 8.2 | Differentiation in Kinematics of Linear Motion | Relate between displacement function, velocity function and acceleration function.; Determine and interpret instantaneous velocities of a particle from displacement function. Maximum displacement, initial velocity and constant velocity need to be emphasised.; Determine and interpret instantaneous acceleration of a particle from velocity function and displacement function. Maximum velocity, minimum velocity and constant acceleration need to be emphasized. s = f(t) v = g(t) a = h(t) v = dt ds a = dt dv = dt s d v = dt a s = dt v |
| 8.3 | Integration in Kinematics of Linear Motion | Determine and interpret instantaneous velocity of a particle from accelaration function.; Determine and interpret instantaneous displacement of a particle from velocity function and accelaration function. |
| 8.4 | Applications of Kinematics of Linear Motion | Solve problems of kinematics of linear motion involving differentiation and integration. PERFORMANCE STANDARDS PERFORMANCE LEVEL DESCRIPTOR 1 Demonstrate the basic knowledge of displacement, velocity and acceleration. 2 Demonstrate the understanding of displacement, velocity and acceleration. 3 Apply the understanding of displacement, velocity and acceleration to perform simple tasks. Apply appropriate knowledge and skills of kinematics of linear motion in the context of simple routine problem solving. Apply appropriate knowledge and skills of kinematics of linear motion in the context of complex routine problem solving. Apply appropriate knowledge and skills of kinematics of linear motion in the context of non-routine problem solving in a creative manner. PANEL OF WRITERS 1. 1. Dr. Rusilawati binti Othman Curriculum Development Division 2. 2. Rosita binti Mat Zain Curriculum Development Division 3. 3. Noraida binti Md. Idrus Curriculum Development Division 4. 4. Susilawati binti Ehsan Curriculum Development Division 5. 5. Wong Sui Yong Curriculum Development Division 6. 6. Alyenda binti Ab. Aziz Curriculum Development Division 7. Noor Azura binti Ibrahim Text Book Division 8. Prof. Dr. Zanariah binti Abdul Majid Universiti Putra Malaysia, Selangor 9. 7. Dr. Annie a/p Gorgey Universiti Pendidikan Sultan Idris, Perak 10. Gan Teck Hock IPGK Kota Bharu, Kelantan 11. Asjurinah binti Ayob SMK Raja Muda Musa, Selangor 12. Azizah binti Kamar SBPI Sabak Bernam, Selangor 13. Bibi Kismete Kabul Khan SMK Jelapang Jaya, Perak 14. Oziah binti Othman SMK Puchong Permai, Selangor 15. Rohani binti Md Nor Sekolah Sultan Alam Shah, Putrajaya CONTRIBUTORS 1. Ahmad Afif bin Mohd Nawawi Matriculation Division 2. 8. Norlisa binti Mohamed @ Mohamed Noor Malaysian Examinations Council 3. Prof. Madya Dr. Muhamad Safiih bin Lola Universiti Malaysia Terengganu, Terengganu 4. 9. Prof. Madya Dr. Zailan bin Siri Universiti Malaya, Kuala Lumpur 5. Dr. Dalia binti Aralas Universiti Putra Malaysia, Selangor 6. Dr. Suzieleez Syrene binti Abdul Rahim Universiti Malaya, Kuala Lumpur 7. Dr. Lam Kah Kei IPGK Tengku Ampuan Afzan, Pahang 8. Dr. Najihah binti Mustaffa SM Sains Tapah, Perak 9. Asman bin Ali SMK Kuala Perlis, Perlis 10. Intan Ros Elyza binti Zainol Abidin SM Sains Hulu Selangor, Selangor 11. Masnaini binti Mahmad SMK Bandar Tun Hussein Onn 2, Selangor 12. Nor Haniza binti Abdul Hamid SMK St. John, Kuala Lumpur 13. Nur Aziah binti Nasir SMK Jalan Empat, Selangor 14. Nurbaiti binti Ahmad Zaki SMK Sierramas, Selangor 15. Sabariah binti Samad SM Sains Rembau, Negeri Sembilan 16. Sh. Maisarah binti Syed Mahamud SMK Seberang Jaya, Pulau Pinang 17. Siti Alifah binti Syed Jalal SMK Katholik (M), Selangor 18. Somu a/l Pantinaidu SMK Seksyen 19, Selangor 19. Wan Mohd Suhaimi bin Wan Ibrahim SMK Air Merah, Kedah 20. Zaleha binti Tomijan SMK Syed Ibrahim, Kedah 21. Zefry Hanif bin Burham @ Borhan SM Sains Banting, Selangor PANEL OF TRANSLATORS 1. 10. Dr. Rusilawati binti Othman Curriculum Development Division 2. 11. Rosita binti Mat Zain Curriculum Development Division 3. 12. Noraida binti Md. Idrus Curriculum Development Division 4. 13. Wong Sui Yong Curriculum Development Division 5. 14. Alyenda binti Ab. Aziz Curriculum Development Division 6. Amirah Zayanah binti Asmadi SMK Sungai Manggis, Selangor 7. Faridah binti Abdullah SMK Bandar Baru Bangi, Selangor 8. Gan Fei Ting SMK Seri Bintang Selatan, Kuala Lumpur 9. Hen Li Seong SMK Yok Bin, Melaka 10. Juriah binti Ibrahim SMK Bandar Rinching, Selangor 11. Kong Chung Teck SMK Tengku Ampuan Jemaah, Selangor 12. Krishnan a/l Mookan SMK Telok Datok, Selangor 13. Law Siew Kie SMK Seri Kembangan, Selangor 14. Merah binti Hasan SMK Tinggi Kajang, Selangor 15. Munirah binti Kassim SMK Pauh Jaya, Pulau Pinang 16. Nik Nur Ashikin binti Nik Othman @ Daud SMK Tinggi Port Dickson, Negeri Sembilan 17. Nor Azura binti Mohd. Hashim SMK Seri Bintang Utara, Kuala Lumpur 18. Norhayati binti Zakaria SBPI Temerloh, Pahang 19. Norsushila binti Othman SMK Desa Petaling, Kuala Lumpur 20. Nur Aziah binti Nasir SMK Jalan Empat, Selangor 21. Nurbaiti binti Ahmad Zaki SMK Sierramas, Selangor 22. Nurfariza binti Muhamad Hanafi SMK Tinggi Port Dickson, Negeri Sembilan 23. Premalatha A/P Velu SMK Seremban 2, Negeri Sembilan 24. Raiha binti Alias SMK Desa Cempaka, Negeri Sembilan 25. Raja Mohd Salihin bin Raja Ariff SMK Putrajaya Presint 14 (1), Putrajaya 26. Razif bin Mohamed Rosli SMS Perempuan Seremban, Negeri Sembilan 27. Rohana binti Dalmen SMK Convent Kajang, Selangor 28. Ruslina binti Abd Rashid SMK Kajang Utama, Selangor 29. Ruzita binti Kamil SMK Jalan Kebun, Selangor 30. Sh. Maisarah binti Syed Mahamud SMK Seberang Jaya, Pulau Pinang 31. Siti Najikhah binti Mohd Isa SAM Tanjong Karang, Selangor 32. Siti Rahimah binti Ahmad SMK Dato' Abu Bakar Baginda, Selangor 33. Somu A/L Pantinaidu SMK Seksyen 19, Selangor 34. Sylviaty binti Norbi SMK Tunku Ampuan Najihah, Negeri Sembilan 35. Yogeswari A/P Punaiyah SMJK Yu Hua, Selangor 36. Zariah binti Zainal SMK Serendah, Selangor 37. Zefry Hanif bin Burham @ Borhan SM Sains Banting, Selangor ACKNOWLEDGEMENT Advisors Dr. Mohamed bin Abu Bakar - Director Datin Dr. Ng Soo Boon - Deputy Director (STEM) Editorial Advisors Dr. Rusilawati binti Othman - Head of Sector Mohamed Zaki bin Abd. Ghani - Head of Sector Haji Naza Idris bin Saadon - Head of Sector Mahyudin bin Ahmad - Head of Sector Mohd Faudzan bin Hamzah - Head of Sector Mohamed Salim bin Taufix Rashidi - Head of Sector Haji Sofian Azmi bin Tajul Arus - Head of Sector Hajah Norashikin binti Hashim - Head of Sector Fazlinah binti Said - Head of Sector Paizah binti Zakaria - Head of Sector Publication Technical and Specification Coordinators Saripah Faridah binti Syed Khalid Nur Fadia binti Mohamed Radzuan Mohamad Zaiful bin Zainal Abidin Graphic Designer Siti Zulikha binti Zelkepli This curriculum document is published in Bahasa Melayu and English language. If there is any conflict or inconsistency between the Bahasa Melayu version and the English version, the Bahasa Melayu version shall, to the extent of the conflict or inconsistency, prevail. |
How to revise for marks
For each standard above, write out a full worked example from memory, then check it against a correct solution and mark your own working the way an examiner would, a mark for the right method, a mark for correct substitution, a mark for the final answer. Keep a short list of the exact slips you repeat and drill them out.
In Paper 1 the aim is speed and accuracy on routine questions; in Paper 2, the aim is clear, ordered working on longer structured problems. When a chapter feels stuck, that is usually one missing idea rather than the whole topic, a one-to-one teacher can find it in a lesson or two.
Where this chapter sits, and why order matters
Kinematics of Linear Motion is chapter 8 of the Form 5 syllabus, and Add Math rewards students who revise in the syllabus order rather than jumping to whatever looks hardest. Almost every chapter leans on the algebra of Form 4, rearranging equations, working with functions, handling indices and surds cleanly, so if any of those feel shaky, an hour spent firming them up will pay back across Kinematics of Linear Motion and everything after it.
When you revise this chapter, keep a running note of any earlier skill you had to look up: that note is a map of the foundations worth repairing. A strong revision plan is not a race through all 4 standards in one sitting; it is short, regular sessions where you revisit a standard, test yourself a few days later, and only move on once you can reproduce the method without the notes in front of you.
How a teacher helps with Kinematics of Linear Motion
Notes and practice take a student a long way, but Kinematics of Linear Motion is one of those chapters where a second pair of eyes makes the difference between "I sort of get it" and "I get it reliably". Working one-to-one, a teacher watches the working as it happens and catches the exact step where a solution goes wrong, a sign dropped here, a condition forgotten there, a formula used in the right place but the wrong way.
That is something a worked answer in a book can never do, because the mistake happens in the doing, not in the reading. Because Kinematics of Linear Motion builds on earlier chapters, a teacher can also spot when the real gap is not in Kinematics of Linear Motion at all but in a Form 4 skill it quietly assumes, and rebuild that first so the new material finally lands.
In every lesson the emphasis is the same: understand the idea, show the method, and make the working clear enough that it earns marks even on a day when the final answer slips. Lessons are one-to-one and online, in English, and the teacher shapes each session around exactly where your child is with Kinematics of Linear Motion, from rebuilding a shaky foundation to sharpening for an A+.
Because the teacher is working with one student and not thirty, the pace is set by understanding rather than by a scheme of work: an idea that clicks in five minutes is not laboured, and one that does not is given the time it needs instead of being left behind for the class to move on.
None of this replaces the notes, examples and practice on this site, it makes them work harder. A student who has read the Kinematics of Linear Motion notes and tried the practice arrives at a lesson with real questions instead of a blank page, and an hour of teaching aimed at those questions is worth far more than an hour spent explaining what a textbook already says.
That is how we like students to use both together: study the material here, notice where it stops making sense, and bring exactly that to a teacher who can close the gap for good.
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