◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsDifferentiation and integration4037/21 · May/June 2019 · Q55 Marks

The velocity-time graph represents the motion of a particle travelling in a straight line. [Figure 5.1]

  1. (i)Find the acceleration during the last 6 seconds of the motion.[1]
  2. (ii)The particle travels with constant velocity for 23 seconds. Find the value of k.[1]
  3. (iii)Using your answer to part (ii), find the total distance travelled by the particle.[3]

This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.

Mark scheme

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

  1. [B1] -10/6 oe
  2. [B1] 27
  3. [M1] Attempts to find total area
  4. [M1] 1/2(23 + their k + 6) × 10 OR 1/2 × 4 × 10 + 23 × 10 + 1/2 × 6 × 10
  5. [A1] 280

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
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2019 Paper 2 Variant 1, question 5.

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

Related Additional Mathematics questions

Differentiation and integrationMay/June 201011m

Answer only one of the following two alternatives. EITHER A curve has equation y = ln x / x², where x > 0.

Differentiation and integrationMay/June 201011m

OR A curve is such that dy/dx = 6 cos(2x + π/2) for -π/4 <= x <= 5π/4. The curve passes through the point (π/4, 5).

Differentiation and integrationMay/June 20109m

A particle moves in a straight line such that its displacement, xm, from a fixed point O at time tseconds is given by…

Equations, inequalities and graphsMay/June 20107m

Sketch the graph of y = |3x + 9| for -5 < x < 2, showing the coordinates of the points where the graph meets the axes.

SeriesMay/June 20108m

Write down the first 4 terms, in ascending powers of x, of the expansion of (1 – 3x)⁷.

Logarithmic and exponential functionsMay/June 20109m

Given that logₚ X = 6 and logₚ Y = 4, find the value of

← Browse all past-paper questions

© 2026 Oracle Prep