Functions and Graphs - Water-Level Graphs at Constant Volume Flow

Functions and Graphs - Water-Level Graphs at Constant Volume Flow

Secondary 3

The container below consists of two sections, \(\mathbf{I}\) and \(\mathbf{II}\), which have a volume ratio of \(1 : 5\).

Water is poured into the container at a constant rate.

It takes a total of \(6\) seconds to completely fill the container.

On the axes below, sketch the graph of the height of the water level against time.

Container with two sections and empty height-time graph axes.
Container with two sections and empty height-time graph axes.

Solution:

Solution locked

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Answer:Linear increase for \(0\le t\le1\), then increasing and concave down for \(1<t\le6\), with continuous slope at the common neck. Heights are not numerically specified.

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