A particle, moving in a straight line with speed 3U m s−13U\text{ m s}^{-1}3U m s−1, decelerates uniformly for 4 seconds, which reduces its speed to U m s−1U\text{ m s}^{-1}U m s−1. It maintains this speed for a further 6 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 UUU.
Given the total distance is 120 m, show that the total distance is 15U m15U\text{ m}15U m.
hence find the value of UUU.
36 exam-style questions on Edexcel A Level Maths 9.2 Velocity-Time Graphs. Each one has a worked solution and a mark scheme showing where the marks go.