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 A 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.