A particle P P\,P moves on the x x\,x axis. The acceleration of P P\,P at time t t\,t seconds is (6t−24) m s−2(6t - 24) \text{ m s}^{-2}(6t−24) m s−2 measured in the positive x x\,x direction. Initially the particle is at O O\,O with a velocity of 60 m s-1.
Show that the particle will never travel in the negative x x\,x direction.
Find the distance travelled by the particle in the first 10 seconds.
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.