A particle P P\,P travels along a straight line through a point O O\,O so that at time t t\,t s after passing through O O\,O its displacement from O O\,O is x x\,x m, where x=t3+at2+btx = t^3 + at^2 + btx=t3+at2+bt and a a\,a and b b\,b are constants.
The initial velocity of P P\,P is 74 ms-1.
Find the value of bbb.
The particle P P\,P has zero acceleration when t=6t = 6t=6.
Find the value of aaa.
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.