Skip to content

Course home

Sign up

3.2 Kinematics

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768
Question 23

At 09:00 hiker A A\,A has position vector (6i−2j)(6\mathbf{i} - 2\mathbf{j})(6i−2j) km and moves with constant velocity (−2i+4j)(-2\mathbf{i} + 4\mathbf{j})(−2i+4j) km h−1\text{h}^{-1}h−1. Hiker B B\,B has position vector (11i+3j)(11\mathbf{i} + 3\mathbf{j})(11i+3j) km and moves with constant velocity (2i+2j)(2\mathbf{i} + 2\mathbf{j})(2i+2j) km h−1\text{h}^{-1}h−1.

a.

Find the relative displacement of hiker A A\,A from hiker B B\,B after t t\,t hours.

[6]
b.

Find the time when A A\,A is due west of BBB.

[2]
c.

Find the time, after 09:00, when the hikers are exactly 290 \sqrt{290}\,290​ km apart.

[6]
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