A particle, moving in a straight line, decelerates uniformly, from a speed 5Ums−15U\text{ms}^{-1}5Ums−1, for 6 seconds which reduces its speed to 2Ums−12U\text{ms}^{-1}2Ums−1. It maintains this speed for a further 16 seconds before decelerating uniformly to rest in a further 2 seconds.
Sketch a velocity-time graph for this information.
Find an expression for each of the decelerations in terms of U.
Given the total distance is 220m, find the value of U.
Practise Edexcel A Level Maths Constant Acceleration with exam-style questions for A Level Maths. 17 questions covering 8.2 Modelling Assumptions, 8.3 Quantities and Units, 8.4 Working with Vectors, 9.1 Displacement-Time Graphs, 9.2 Velocity-Time Graphs, 9.3 Constant Acceleration Formulae 1, 9.4 Constant Acceleration Formulae 2, and 9.5 Vertical Motion Under Gravity, 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.