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=t2(4t2−4t+1)x = t^2(4t^2 - 4t + 1)x=t2(4t2−4t+1)
Show that P P\,P will never move along the negative xxx-axis.
Find the times when P P\,P is instantaneously at rest.
Find the total distance travelled by P P\,P in the interval 0≤t≤50 \leq t \leq 50≤t≤5
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.