Edexcel M1 2006 January — Question 1 6 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2006
SessionJanuary
Marks6
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicVariable acceleration (1D)
TypeDisplacement from velocity by integration
DifficultyModerate -0.8 This is a straightforward kinematics problem using standard SUVAT equations with constant acceleration due to gravity. Students need to apply s = ut + ½at² for part (a) and v = u + at for part (b), both routine M1 techniques requiring minimal problem-solving beyond identifying the correct equations and substituting values carefully.
Spec3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form

A stone is thrown vertically upwards with speed \(16 \text{ m s}^{-1}\) from a point \(h\) metres above the ground. The stone hits the ground \(4\) s later. Find
  1. the value of \(h\), [3]
  2. the speed of the stone as it hits the ground. [3]

A stone is thrown vertically upwards with speed $16 \text{ m s}^{-1}$ from a point $h$ metres above the ground. The stone hits the ground $4$ s later. Find

\begin{enumerate}[label=(\alph*)]
\item the value of $h$, [3]
\item the speed of the stone as it hits the ground. [3]
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2006 Q1 [6]}}