OCR MEI C4 — Question 7

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
TopicDifferential equations

7 When a stone is dropped into still water, ripples move outwards forming a circle of rippled water. At time \(t\) seconds after the stone hits the water the radius of the circle of ripples is increasing at a rate that is inversely proportional to the radius When the radius is 200 cm the rate of increase of the radius is 5 cm per second. Write down the differential equation that represents this situation.