Skip to content

Course home

3.2 Kinematics

3.2 Kinematics

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175
Question 55

A small object starts with an initial velocity u=(−8i+2j) ms−1\mathbf{u} = (-8\mathbf{i} + 2\mathbf{j}) \text{ ms}^{-1}u=(−8i+2j) ms−1. It accelerates at a constant rate in the direction (i+j)(\mathbf{i} + \mathbf{j})(i+j). Given that the magnitude of the acceleration is 52 ms−25\sqrt{2} \text{ ms}^{-2}52​ ms−2,

a.

Show that the velocity vector v\mathbf{v}v after t t\,t seconds is given by v=[(5t−8)i+(5t+2)j] ms−1\mathbf{v} = [(5t - 8)\mathbf{i} + (5t + 2)\mathbf{j}] \text{ ms}^{-1}v=[(5t−8)i+(5t+2)j] ms−1.

[6]
b.

Using your answer to part (a), or otherwise, find the value of t t\,t for which the speed of the particle is at its minimum.

[5]
Markscheme

3.2 Kinematics Questions

  1. A Level
  2. /Maths
  3. /3.2 Kinematics

260 exam-style questions on OCR A Level Maths 3.2 Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Displacement-time and velocity-time graphs, 3.2.4 Constant acceleration formulae, 3.2.5 Constant acceleration in two dimensions (A-level only), 3.2.6 Non-uniform acceleration in one dimension (A-level only), 3.2.7 Non-uniform acceleration in two dimensions (A-level only), 3.2.8 Motion under gravity using vectors (A-level only), and 3.2.9 Projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank