A particle P P\,P moves on the x x\,x axis. The acceleration of P P\,P at time t t\,t seconds, t≥0t \geq 0t≥0, is (3t+5) m s−2(3t + 5) \text{ m s}^{-2}(3t+5) m s−2 in the positive x x\,x direction. When t=0t = 0t=0, the velocity of P P\,P is 2 m s-1 in the positive x x\,x direction. When t=Tt = Tt=T, the velocity of P P\,P is 6 m s-1 in the positive x x\,x direction.
Find the value of TTT.
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.