A particle moves along the xxx-axis with acceleration (6t−24) m s−2(6t-24)\text{ m s}^{-2}(6t−24) m s−2. At t=0t=0t=0 its velocity is 60 m s-1 in the positive xxx-direction.
Show that the particle never travels in the negative xxx-direction.
Find the distance travelled 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.