The displacement of a particle after t t\,t seconds is given by s=(at2−2t+10) ms = (at^2 - 2t + 10) \text{ m}s=(at2−2t+10) m, where a a\,a is a constant. After 5 seconds the velocity is 38 m s-1.
Find an expression for the velocity.
Find the velocity after 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.