OCR H240/03 2019 June — Question 7 4 marks

Exam BoardOCR
ModuleH240/03 (Pure Mathematics and Mechanics)
Year2019
SessionJune
Marks4
PaperDownload PDF ↗
TopicTravel graphs
TypeVelocity-time graph sketching
DifficultyEasy -1.2 This is a straightforward mechanics question requiring only basic SUVAT equations and interpretation of a velocity-time graph. Part (a) is a simple sketch of two linear segments (acceleration then constant velocity), and part (b) involves calculating area under the graph or using s=ut+½at². Both parts are routine applications with no problem-solving insight required, making this easier than average for A-level.
Spec3.02h Motion under gravity: vector form3.02i Projectile motion: constant acceleration model

A cyclist starting from rest accelerates uniformly at \(1.5 \text{ m s}^{-2}\) for \(4\) s and then travels at constant speed.
  1. Sketch a velocity-time graph to represent the first \(10\) seconds of the cyclist's motion. [2]
  2. Calculate the distance travelled by the cyclist in the first \(10\) seconds. [2]

A cyclist starting from rest accelerates uniformly at $1.5 \text{ m s}^{-2}$ for $4$ s and then travels at constant speed.

\begin{enumerate}[label=(\alph*)]
\item Sketch a velocity-time graph to represent the first $10$ seconds of the cyclist's motion. [2]

\item Calculate the distance travelled by the cyclist in the first $10$ seconds. [2]
\end{enumerate}

\hfill \mbox{\textit{OCR H240/03 2019 Q7 [4]}}