A-Level MathematicsYear 2023Q10
13356 10 A cylindrical water tank is leaking water. A student believes that the rate of change of depth, D metres, of water in the tank is proportional to the square of the depth at time t minutes. (i) Using this model, form a differential equation. [2] The initial depth of water in the tank was 3 m and after 4 minutes the depth of water in the tank had reduced to 1.2 m. (ii) By solving the differential equation, find the time it will take for the depth of water in the tank to drop to 0.5 m. [10] 13356 [Turn over
Paper Source:CAM35GCE-Mathematics -502-Summer2023-A2 1%2C Pure Mathematics-Paper.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)