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9709 P41 - Nov 2024 - Q4 - 6 marks
9882

Take \(g=10\,\mathrm{m\,s^{-2}}\). A bus starts from rest and accelerates at \(a\,\mathrm{m\,s^{-2}}\) to \(16\,\mathrm{m\,s^{-1}}\). It travels at this speed for T seconds and then decelerates at \(0.75a\,\mathrm{m\,s^{-2}}\) to rest. The total journey time is 240 s.

(a) Sketch a velocity-time graph. [1]

(b) Express T in terms of a. [2]

(c) The bus travels 3000 m. Find a. [3]

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