OCR C3 2015 June — Question 3

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2015
SessionJune
TopicNon-constant acceleration

3 The volume, \(V\) cubic metres, of water in a reservoir is given by $$V = 3 ( 2 + \sqrt { h } ) ^ { 6 } - 192 ,$$ where \(h\) metres is the depth of the water. Water is flowing into the reservoir at a constant rate of 150 cubic metres per hour. Find the rate at which the depth of water is increasing at the instant when the depth is 1.4 metres.