Kinematics via differentiation and integration

Sample Kinematics via differentiation and integration questions

A few of the 4 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 7
   A particle moves in a straight line so that its displacement, $s$ metres, from a fixed point $O$ at time $t$ seconds is given by $s = t^3 - 6t^2 + 9t$

What are the common mistakes in Kinematics via differentiation and integration?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Differentiates displacement only once (giving velocity) when finding acceleration, instead of differentiating twice (or differentiating velocity once more)

  Acceleration is the SECOND derivative of displacement (or the first derivative of velocity) - differentiate $v=3t^2-12t+9$ once more to get $a=6t-12$

Quick answers about Kinematics via differentiation and integration

How many Kinematics via differentiation and integration practice questions are there?

There are 4 self-marking IGCSE and Additional Maths Maths questions on Kinematics via differentiation and integration, written for Cambridge IGCSE Additional Maths (0606), Pearson International GCSE Maths A (4MA1) across Higher and Single tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Kinematics via differentiation and integration?

No. You can start practising Kinematics via differentiation and integration straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.