A cyclist travels along a straight road with constant acceleration. He passes through points $$\(A, B\)$$ and $$\(C\)$$. The cyclist takes 2 seconds to travel along each of the sections $$\(A B\)$$ and $$\(B C\)$$ and passes through $$\(B\)$$ with speed $$\(4.5 \mathrm{~m} \mathrm{~s}^{-1}\)$$. The distance $$\(A B\)$$ is $$\(\frac{4}{5}\)$$ of the distance $$\(B C\)$$. Find $$\(A C\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................
Exam No：9709_m20_qp_42 Year：2020 Question No：4(b)
Answer:
\(s_{A B}=2 \times 4.5-1 / 2 \times 0.5 \times 2^{2}=8\)
OR
\(s_{B C}=2 \times 4.5+1 / 2 \times 0.5 \times 2^{2}=10\)
\(s_{A C}=8+5 / 4 \times 8=18 \mathrm{~m}\)
OR
\(s_{A C}=10+4 / 5 \times 10=18 \mathrm{~m}\)
OR
\(s_{B C}=2 \times 4.5+1 / 2 \times 0.5 \times 2^{2}=10\)
\(s_{A C}=8+5 / 4 \times 8=18 \mathrm{~m}\)
OR
\(s_{A C}=10+4 / 5 \times 10=18 \mathrm{~m}\)
Knowledge points:
4.2.4 use appropriate formulae for motion with constant acceleration in a straight line. （Questions may involve setting up more than one equation, using information about the motion of different particles.）
Solution:
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