A-LevelMathematicsMechanics9709/43 · May/June 2019 · Q15 Marks

A bus moves in a straight line between two bus stops. The bus starts from rest and accelerates at 2.1 m s⁻² for 5 s. The bus then travels for 24 s at constant speed and finally slows down, with a constant deceleration, stopping in a further 6 s. Sketch a velocity-time graph for the motion and hence find the distance between the two bus stops.

Sketch a velocity-time graph for the motion and hence find the distance between the two bus stops.[5]

Mark scheme

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

[B1] Trapezium. Includes (0,0) and (...,0)
[B1] Correct trapezium with key time values (t = 0), t = 5, t = 29, t = 35
[B1] Vmax = 2.1 × 5 = 10.5 ms⁻¹
[M1] Use of area property to find distance: [½ x (24 +35) × 10.5] or [½ × 5 × 10.5 + 24 × 10.5 + ½ × 6 × 10.5]
[A1] 309.75 m or 310 m

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.

Topic: Mechanics, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source: A-Level Mathematics, May/June 2019 Paper 4 Variant 3, question 1.

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