Edexcel M1 2003 June — Question 3 8 marks

Exam BoardEdexcel
ModuleM1 (Mechanics 1)
Year2003
SessionJune
Marks8
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSUVAT in 2D & Gravity
TypeVertical projection: time to ground
DifficultyModerate -0.8 This is a straightforward two-part SUVAT problem with standard vertical motion under gravity. Part (a) uses v²=u²+2as with known values, part (b) uses s=ut+½at² requiring solving a quadratic, and part (c) tests understanding of modelling assumptions. All steps are routine applications of memorized formulae with no problem-solving insight required, making it easier than average but not trivial due to the quadratic solving in part (b).
Spec3.02d Constant acceleration: SUVAT formulae3.02h Motion under gravity: vector form

3. A competitor makes a dive from a high springboard into a diving pool. She leaves the springboard vertically with a speed of \(4 \mathrm {~m} \mathrm {~s} ^ { - 1 }\) upwards. When she leaves the springboard, she is 5 m above the surface of the pool. The diver is modelled as a particle moving vertically under gravity alone and it is assumed that she does not hit the springboard as she descends. Find
  1. her speed when she reaches the surface of the pool,
  2. the time taken to reach the surface of the pool.
  3. State two physical factors which have been ignored in the model.

3. A competitor makes a dive from a high springboard into a diving pool. She leaves the springboard vertically with a speed of $4 \mathrm {~m} \mathrm {~s} ^ { - 1 }$ upwards. When she leaves the springboard, she is 5 m above the surface of the pool. The diver is modelled as a particle moving vertically under gravity alone and it is assumed that she does not hit the springboard as she descends. Find
\begin{enumerate}[label=(\alph*)]
\item her speed when she reaches the surface of the pool,
\item the time taken to reach the surface of the pool.
\item State two physical factors which have been ignored in the model.
\end{enumerate}

\hfill \mbox{\textit{Edexcel M1 2003 Q3 [8]}}