◈ Oracle PrepSign Up Free
A-LevelMathematicsMechanics9709/41 · Oct/Nov 2021 · Q13 Marks

A bus moves from rest with constant acceleration for 12 s. It then moves with constant speed for 30 s before decelerating uniformly to rest in a further 6 s. The total distance travelled is 585 m.

  1. (a)Find the constant speed of the bus.[2]
  2. (b)Find the magnitude of the deceleration.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.

  1. [M1] Use of constant acceleration equations or a v-t graph. Complete method to set up an equation in V using constant acceleration equations or correct area formula in v-t graph.
  2. [A1] Speed of the bus = 15 ms⁻¹. Must be positive.
  3. [B1 FT] Magnitude of deceleration = 2.5. OE. Do not allow a = -2.5.

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, 3 marks.
Source
A-Level Mathematics, Oct/Nov 2021 Paper 4 Variant 1, 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

Related Mathematics questions

MechanicsFeb/Mar 20196m

A particle is projected vertically upwards with speed 30 m s¯¹ from a point on horizontal ground.

MechanicsFeb/Mar 20197m

A car of mass 1500 kg is pulling a trailer of mass 300 kg along a straight horizontal road at a constant speed of 20 …

MechanicsFeb/Mar 20199m

A particle moves in a straight line. It starts from rest at a fixed point O on the line. Its acceleration at time t s…

SeriesFeb/Mar 20184m

Expand ∛(1 – 4x) in ascending powers of x, up to and including the term in x³, simplifying the coefficients.

TrigonometryFeb/Mar 20186m

Using the expansions of cos(3x + x) and cos(3x – x), show that ½(cos 4x + cos 2x) = cos 3x cos x.

Logarithmic and exponential functionsFeb/Mar 20186m

The variables x and y satisfy the equation yⁿ = Ax³, where n and A are constants. It is given that y = 2.58 when x = …

← Browse all past-paper questions

© 2026 Oracle Prep