SPS SPS SM 2021 January — Question 5 6 marks

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2021
SessionJanuary
Marks6
TopicConstant acceleration (SUVAT)
TypeReaction time and stopping distance
DifficultyStandard +0.3 This is a straightforward mechanics problem requiring unit conversion (km/h to m/s), application of F=ma to find deceleration, then using SUVAT (v²=u²+2as) to find stopping distance. All steps are standard and routine, though the multi-step nature and need to compare stopping distance with 40m makes it slightly above trivial recall questions.
Spec3.03c Newton's second law: F=ma one dimension
5. A cyclist, Laura, is travelling in a straight line on a horizontal road at a constant speed of \(25 \mathrm {~km} \mathrm {~h} ^ { - 1 }\) A second cyclist, Jason, is riding closely and directly behind Laura. He is also moving with a constant speed of \(25 \mathrm {~km} \mathrm {~h} ^ { - 1 }\)
  1. The driving force applied by Jason is likely to be less than the driving force applied by Laura. Explain why.
  2. Jason has a problem and stops, but Laura continues at the same constant speed. Laura sees an accident 40 m ahead, so she stops pedalling and applies the brakes.
    She experiences a total resistance force of 40 N
    Laura and her cycle have a combined mass of 64 kg
    (b) (i) Determine whether Laura stops before reaching the accident. Fully justify your answer.
    [0pt] [4 marks]
    (b) (ii) State one assumption you have made that could affect your answer to part (b)(i).
5.

A cyclist, Laura, is travelling in a straight line on a horizontal road at a constant speed of $25 \mathrm {~km} \mathrm {~h} ^ { - 1 }$

A second cyclist, Jason, is riding closely and directly behind Laura. He is also moving with a constant speed of $25 \mathrm {~km} \mathrm {~h} ^ { - 1 }$
\begin{enumerate}[label=(\alph*)]
\item The driving force applied by Jason is likely to be less than the driving force applied by Laura.

Explain why.
\item Jason has a problem and stops, but Laura continues at the same constant speed.

Laura sees an accident 40 m ahead, so she stops pedalling and applies the brakes.\\
She experiences a total resistance force of 40 N\\
Laura and her cycle have a combined mass of 64 kg\\
(b) (i) Determine whether Laura stops before reaching the accident.

Fully justify your answer.\\[0pt]
[4 marks]\\
(b) (ii) State one assumption you have made that could affect your answer to part (b)(i).
\end{enumerate}

\hfill \mbox{\textit{SPS SPS SM 2021 Q5 [6]}}
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