- Forums
###### How to find maximum acceleration in a variable acceleration question?🙏🙏

Watch

11 months ago

Heyyyy,

I was doing some variable acceleration questions and I came across this one. I can't find a mark scheme anywhere or anything explaining how to find max acceleration in particular haha.

“A particle P starting from rest moves so that it's velocity v(ms-¹) at time t(s) is v = 12t² - 4t³

(ii) Find the maximum acceleration in the first 2 seconds of motion”

I've differentiated for dv/dt to get the formula for a (a=24t-12t²), but I've no clue how to find where the acceleration is at its highest ?? I've found the acceleration for t=0 and t=2, but surely there's another time you need to find it at? Losing my mind a bit haha, any help would be appreciated.

Thank you

I was doing some variable acceleration questions and I came across this one. I can't find a mark scheme anywhere or anything explaining how to find max acceleration in particular haha.

“A particle P starting from rest moves so that it's velocity v(ms-¹) at time t(s) is v = 12t² - 4t³

(ii) Find the maximum acceleration in the first 2 seconds of motion”

I've differentiated for dv/dt to get the formula for a (a=24t-12t²), but I've no clue how to find where the acceleration is at its highest ?? I've found the acceleration for t=0 and t=2, but surely there's another time you need to find it at? Losing my mind a bit haha, any help would be appreciated.

Thank you

(edited 11 months ago)

Reply 1

11 months ago

Original post by JRC123

Heyyyy,

I was doing some variable acceleration questions and I came across this one. I can't find a mark scheme anywhere or anything explaining how to find max acceleration in particular haha.

“A particle P starting from rest moves so that it's velocity v(ms-¹) at time t(s) is v = 12t² - 4t³

(ii) Find the maximum acceleration in the first 2 seconds of motion”

I've differentiated for dv/dt to get the formula for a (a=24t-12t²), but I've no clue how to find where the acceleration is at its highest ?? Losing my mind a bit haha, any help would be appreciated.

Thank you )

I was doing some variable acceleration questions and I came across this one. I can't find a mark scheme anywhere or anything explaining how to find max acceleration in particular haha.

“A particle P starting from rest moves so that it's velocity v(ms-¹) at time t(s) is v = 12t² - 4t³

(ii) Find the maximum acceleration in the first 2 seconds of motion”

I've differentiated for dv/dt to get the formula for a (a=24t-12t²), but I've no clue how to find where the acceleration is at its highest ?? Losing my mind a bit haha, any help would be appreciated.

Thank you )

So acceleration is a quadratic function of t. Do you know how to find vertex of a quadratic?

(edited 11 months ago)

- Vertical motion under gravity- Find the magnitude and height relative to projection
- AS Maths mechanics question
- Kinematics (SUVAT) Questions
- Mechanics A level maths question
- Using constant acceleration formulae
- Mechanics help (SUVAT)
- Mechanics a level maths help
- acceleration question - help please
- Projectile Motion on Moon Question
- Does this matter hugely?
- A level Physics Question [Practise in Physics Textbook] 1.37
- Stuck on this question!
- Unbalanced or balanced force
- Uncertainties probelm
- mechanics
- is this correct relationship between velcoty, acceleration and displacement?
- SHM maths
- Help maths question 😭😭
- Physics velocity graph question
- Mechanics-constant acceleration

- Speech therapy / early years teaching
- Official Cambridge Postgraduate Applicants 2024 Thread
- Mental Health Support Society XXI
- HSBC Degree Apprenticeship 2024
- Official Dental Hygiene and Therapy (Oral Health Science) 2024 Entry Thread
- Was it cheating?
- What’s the difference between gcse in business and gcse in economics?
- Coventry University
- JP Morgan Degree Apprenticeship 2023
- lnat results thread 2024
- Official Veterinary Medicine Applicants thread 2024 entry
- York accommodation 2023/2024
- Girls Vs. Boys (Part 46)
- Law offers - 2024 entry
- Phd in Education - Cambridge - 2024
- Official TSR Book Club 2024
- Dyson Institute 2024 Applicants
- Does doing a Level 3/4 in the same field make it easy to get a Level 6?
- Oxford College hurt/heal
- Digital Humanities PhD/MPhil 2024 Entry

- The Official King's College London Applicants for 2024 Entry Thread
- [Official thread] Durham University 2024 Applicants
- Official London School of Economics and Political Science 2024 Applicant Thread
- Official: Hull York Medical School A100 2024 Entry Applicants
- Official: St George's, University of London A100 2024 Entry
- Why would people be against abortion?
- Jesus College Oxford 2024 Offer Holders
- Official Thread: Graduate Entry Medicine 2024 Entry
- MPhil Advanced Computer Science Cambridge - 2024 Entry
- Queen Mary Malta A100 2024 Entry
- Official Oxford 2024 Postgraduate Applicants Thread
- Cambridge postgraduate application: Decision pending - application is under review
- [Official thread] Hamas-Israel Conflict
- EDF Grad Scheme - 2024
- Which university to select cardiff or Liverpool University?
- LSE PPE for 2024 entry
- Gateway Medicine St Andrews Uni
- Mst in English (all streams)
- DWP Work Coach Interview - how long to hear
- Shaw's year 12 gyg: trying to keep myself on track!!

- UKMT Intermediate Math Challenge 2024 - Discussion
- Help with complex summation further maths a levels
- GCSE Mathematics Study Group 2023-2024
- Could I have some help with this suvat question?
- MAT practice
- A-level Mathematics Study Group 2023-2024
- Alevel Maths Question
- weird cosine question
- Series function not differentiable at a point
- hyperbolic function catenary problem

- Mock set 4 paper 2 q14 a level maths (4 distinct points)
- can anyone answer this A level vectors question (very challenging)
- STEP foundation module help pls
- Ukmt IMC 2024
- ukmt imc
- This maths question is driving me crazy
- Maths Mechanics
- Confused on surds question
- HNC MATHS A2 Task 3 (Radio Transmitters)
- Senior Maths Challenge 2023

- UKMT Intermediate Math Challenge 2024 - Discussion
- Help with complex summation further maths a levels
- GCSE Mathematics Study Group 2023-2024
- Could I have some help with this suvat question?
- MAT practice
- A-level Mathematics Study Group 2023-2024
- Alevel Maths Question
- weird cosine question
- Series function not differentiable at a point
- hyperbolic function catenary problem

- Mock set 4 paper 2 q14 a level maths (4 distinct points)
- can anyone answer this A level vectors question (very challenging)
- STEP foundation module help pls
- Ukmt IMC 2024
- ukmt imc
- This maths question is driving me crazy
- Maths Mechanics
- Confused on surds question
- HNC MATHS A2 Task 3 (Radio Transmitters)
- Senior Maths Challenge 2023

The Student Room and The Uni Guide are both part of The Student Room Group.

© Copyright The Student Room 2024 all rights reserved

The Student Room and The Uni Guide are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: Imperial House, 2nd Floor, 40-42 Queens Road, Brighton, East Sussex, BN1 3XB