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.
28 exam-style questions on Edexcel AS Level Maths Variable Acceleration, covering 11.1 Functions of Time, 11.2 Using Differentiation, 11.3 Maxima and Minima Problems, 11.4 Using Integration, and 11.5 Constant Acceleration Formulae. Each one has a worked solution and a mark scheme showing where the marks go.