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−18) m s−2(6t - 18) \text{ m s}^{-2}(6t−18) m s−2 measured in the positive x x\,x direction. Initially the particle is at O O\,O with a velocity of 36 m s-1.
The velocity of P P\,P at time t t\,t seconds is (3t2−18t+36) m s−1(3t^2 - 18t + 36) \text{ m s}^{-1}(3t2−18t+36) m s−1 measured in the positive x x\,x direction.
Find the distance travelled by the particle in the first 10 seconds.
308 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.