2018 TGM P1 Q1
2018 TGM P1 Q1
Junior College 1
4 marks
A circular water ripple is expanding such that the rate of change of the circumference with respect to time \(t\) is \(5\text{ cm/s}\). Find the rate of change of both the diameter and area of the circle with respect to \(t\) when the radius of the circle is \(2\text{ cm}\).[4]
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Answer:Diameter: \(\frac5\pi\,\mathrm{cm\,s^{-1}}\). Area: \(10\,\mathrm{cm^2\,s^{-1}}\) when \(r=2\,\mathrm{cm}\).
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