SPS SPS SM Mechanics 2023 January — Question 1 6 marks

Exam BoardSPS
ModuleSPS SM Mechanics (SPS SM Mechanics)
Year2023
SessionJanuary
Marks6
TopicConstant acceleration (SUVAT)
TypeSUVAT simultaneous equations: find u and a
DifficultyModerate -0.3 This is a straightforward two-unknown SUVAT problem requiring simultaneous solution of two standard equations (s = ut + ½at² and v = u + at). While it involves algebraic manipulation with two unknowns rather than direct substitution, the setup is routine and the mathematics is standard for AS-level mechanics with no conceptual challenges.
Spec3.02d Constant acceleration: SUVAT formulae

  1. 10 seconds after passing a warning signal, a train is travelling at \(18 m s ^ { - 1 }\) and has gone 215 m beyond the signal. Find the acceleration (assumed to be constant) of the train during the 10 seconds and its velocity as it passed the signal.
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  \item 10 seconds after passing a warning signal, a train is travelling at $18 m s ^ { - 1 }$ and has gone 215 m beyond the signal. Find the acceleration (assumed to be constant) of the train during the 10 seconds and its velocity as it passed the signal.
\end{enumerate}

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\hfill \mbox{\textit{SPS SPS SM Mechanics 2023 Q1 [6]}}