Rocket height model

Rocket height model

Secondary 2
8 marks
TGM Original Questions

Optional extension

A model rocket’s height is \(h=30t-5t^2\) metres after \(t\) seconds.

  1. Find its height at \(t=2.5\).[2]
  2. Find the two times when \(h=40\), and explain why there are two.[2]
  3. Find when it returns to the ground after launch.[2]
  4. Can it reach \(50\) m? Justify your answer using its maximum height.[2]

Solution:

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Answer:(a) \(43.75\) m (b) \(t=2,4\) s, once ascending and once descending (c) \(6\) s (d) no, maximum \(45\) m at \(t=3\) s.

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