9709 P41 - Jun 2025 - Q3 - 7 marks
9600
Use \(g=10\text{ m s}^{-2}\).
The graph consists of three straight segments. A cyclist passes \(O\) at \(3\text{ m s}^{-1}\), accelerates at \(0.5\text{ m s}^{-2}\) for 10 s, travels at constant speed for 30 s, then decelerates to rest at \(P\). During deceleration he travels 80 m.
(a) Find the total journey time from \(O\) to \(P\). [3]
(b) On the given axes sketch the displacement–time graph, showing distances travelled after 10 s and 40 s. [4]
