Finding the value of an unknown in a formula

Finding the value of an unknown in a formula

Secondary 2

The time, \(t\) seconds, for a ball dropped from a height of \(h\) metres to reach the ground is modelled by \(t=\sqrt{\dfrac{h}{4.9}}\).

  1. Find \(t\) when \(h=19.6\).
  2. Find \(h\) when \(t=3\).
  3. A student substitutes \(t=-2\) and obtains \(h=19.6\). Explain why this value of \(t\) is not possible.

Solution:

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Answer:(a) \(t=2\) (b) \(h=44.1\) (c) A square root is never negative, so \(t\) cannot be \(-2\).

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