Ball-height graph model

Ball-height graph model

Secondary 2
TGM Original Questions

A ball’s height is \(y=18t-2t^2\) metres after \(t\) seconds.

  1. Complete the missing table values \(p,q,r\).
  2. Draw the graph for \(0\le t\le9\).
  3. Use it to find
    1. maximum height,
    2. return time, and
    3. times when height is \(32\) m.
\(t\)\(0\)\(1\)\(2\)\(3\)\(4\)\(5\)\(6\)\(7\)\(8\)\(9\)
\(y\)\(0\)\(16\)\(p\)\(36\)\(40\)\(40\)\(q\)\(28\)\(r\)\(0\)

Solution:

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Answer:(a) \(p=28,q=36,r=16\); (c)(i) \(40.5\) m; (ii) \(9\) s; (iii) \(t\approx2.44,6.56\) s.

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