Ball-height graph model
Ball-height graph model
Secondary 2
10 marks
TGM Original Questions
Optional extension
A ball’s height is \(y=18t-2t^2\) metres after \(t\) seconds.
- Complete the missing table values \(p,q,r\).[2]
- Draw the graph for \(0\le t\le9\).[2]
- Use it to find
- maximum height,[2]
- return time, and[2]
- times when height is \(32\) m.[2]
| \(t\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) | \(5\) | \(6\) | \(7\) | \(8\) | \(9\) |
|---|---|---|---|---|---|---|---|---|---|---|
| \(y\) | \(0\) | \(16\) | \(p\) | \(36\) | \(40\) | \(40\) | \(q\) | \(28\) | \(r\) | \(0\) |
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) \(p=28,q=36,r=16\) (c)(i) \(40.5\) m (ii) \(9\) s (iii) \(t\approx2.4,6.6\) s. (b) See the completed graph.
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