Edexcel IALMathematicsGeneral Applications8 Marks
Water is leaking from a cylindrical tank. The depth of the water in the tank at time t minutes is h cm. The rate at which the depth of water is changing is modelled by the differential equation dh/dt = -0.01h^(3/2). Initially, the depth of the water is 100 cm. (a) Show that the general solution of the differential equation can be written as 1/√h = 0.005t + C, where C is a constant. (b) Find the time, in minutes, when the depth of the water is 25 cm.
📋 Examiner Report & Trap Analysis
Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...
🎯 Mark Scheme Breakdown
Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.
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