Finding the value of an unknown in a formula

Finding the value of an unknown in a formula

Secondary 2

Water flows out of a small hole in the side of a tank. When the surface of the water is \(h\) metres above the hole, the speed of the water leaving the hole is modelled by \(v=\sqrt{20h}\) m/s.

  1. Find \(v\) when \(h=1.8\).
  2. Find \(h\) when \(v=5\).
  3. Find \(h\) when \(v=10\), and state how many times the depth in part (b) this is.

Solution:

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Answer:(a) \(6\) m/s (b) \(h=1.25\) (c) \(h=5\); \(4\) times as deep

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