Race speed model

Race speed model

Secondary 2
6 marks
TGM Original Questions

Optional extension

A runner moves at an average speed of \(x\) m/s. The distance is \((2x^2-24)\) m and the time is \((3x-11)\) s.

  1. Show that \(x^2-11x+24=0\).[2]
  2. Solve the equation and reject the inadmissible root.[2]
  3. Find the race distance.[2]

Solution:

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Answer:(ii) \(x=8\) m/s (iii) \(104\) m. (i) \(x^2-11x+24=0\) (shown).

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