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.
265 exam-style questions on AQA A Level Maths 3.2 Q: Kinematics, covering 3.2.1 Language of kinematics, 3.2.2 Graphs in kinematics, 3.2.3 Constant acceleration formulae, 3.2.4 Calculus in kinematics (A-level only), and 3.2.5 Motion under gravity and projectiles (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.