Mixed review

Mixed review

Secondary 2

Water from a garden sprinkler at \(O\), on level ground, follows the curve \(h=px-\frac{1}{2}x^2\), where \(h\) m is the height of the water at a horizontal distance \(x\) m from the sprinkler. The water lands at \(L\), \(6\) m from the sprinkler. The sketch is not drawn to scale.

  1. Find the value of \(p\).
  2. Find the greatest height of the water.
  3. Find the distances from the sprinkler at which the water is \(4\) m high.

Solution:

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Answer:(a) \(p=3\) (b) \(4.5\) m (c) \(2\) m and \(4\) m

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