Cliff trajectory graph

Cliff trajectory graph

Secondary 2
TGM Original Questions

A stone’s height above sea level is \(y=45+12x-x^2\) metres after travelling \(x\) metres horizontally.

  1. complete the missing table values \(p,q\)
  2. draw for \(0\le x\le12\)
  3. find
    1. cliff height,
    2. horizontal distance travelled while above \(77\) m
  4. find greatest height.
\(x\)\(0\)\(2\)\(4\)\(6\)\(8\)\(10\)\(12\)
\(y\)\(45\)\(65\)\(p\)\(81\)\(q\)\(65\)\(45\)

Solution:

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Answer:(a) \(p=77,q=77\); (c)(i) \(45\) m; (ii) \(4\) m; (d) \(81\) m.

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