Cliff trajectory graph
Cliff trajectory graph
Secondary 2
10 marks
TGM Original Questions
Optional extension
A stone’s height above sea level is \(y=45+12x-x^2\) metres after travelling \(x\) metres horizontally.
- complete the missing table values \(p,q\)[2]
- draw for \(0\le x\le12\)[2]
- find
- cliff height,[2]
- horizontal distance travelled while above \(77\) m[2]
- find greatest height.[2]
| \(x\) | \(0\) | \(2\) | \(4\) | \(6\) | \(8\) | \(10\) | \(12\) |
|---|---|---|---|---|---|---|---|
| \(y\) | \(45\) | \(65\) | \(p\) | \(81\) | \(q\) | \(65\) | \(45\) |
For graph readings, give values to the nearest 0.1 unit where an exact value cannot be read from the grid. Use the labelled axes and grid provided.
Solution:
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Answer:(a) \(p=77,q=77\) (c)(i) \(45\) m (ii) \(4\) m (d) \(81\) m. (b) See the completed graph.
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