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.
Practise Edexcel A Level Maths Variable Acceleration with exam-style questions for A Level Maths. 16 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.
