A particle moves in a straight line. At time t t\,t seconds, its velocity is 2t 2t\,2t m/s and its displacement is s s\,s metres. When t=5t=5t=5, s=30s=30s=30.
Show that the displacement is of the form s=t2+Cs=t^2+Cs=t2+C.
Use the information given to find the value of CCC.
Find the displacement 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.