Skip to main content
A-LevelMathematicsMechanics9709/42 · May/June 2019 · Q26 Marks

A car moves in a straight line with initial speed u m s⁻¹ and constant acceleration a m s⁻². The car takes 5 s to travel the first 80 m and it takes 8 s to travel the first 160 m. Find a and u.

  1. A car moves in a straight line with initial speed u m s⁻¹ and constant acceleration a m s⁻². The car takes 5 s to travel the first 80 m and it takes 8 s to travel the first 160 m. Find a and u.[6]

Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [M1] Use the equation s = ut + ½at² to set up one equation in u and a
  2. [A1] One correct equation in a and u
  3. [A1] Second correct equation in a and u
  4. [M1] Attempt to solve a pair of valid simultaneous equations for a or u
  5. [A1] Allow a = 2.67
  6. [A1] Allow u = 9.33

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 6 marks.
Source
A-Level Mathematics, May/June 2019 Paper 4 Variant 2, question 2.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Mathematics questions

© 2026 Oracle Prep