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Constant Acceleration

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Question 7

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.

a.

sketch a velocity-time graph for this information.

[2]
b.

find an expression for each of the decelerations in terms of UUU.

[4]
c.

Given the total distance is 120 m, show that the total distance is 15U m15U\text{ m}15U m.

[4]
d.

hence find the value of UUU.

[2]
Markscheme

Constant Acceleration Questions

  1. A Level
  2. /Maths
  3. /Constant Acceleration

197 exam-style questions on Edexcel A Level Maths Constant Acceleration, 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. Each one has a worked solution and a mark scheme showing where the marks go.

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