Chapter 2 Section 3

Notes

Linguistic Mapping Exercises

Knowledge Checks

  1. Suppose that \((2,4)\) and \((5,6)\) lie on the line \(L\). Find all points on \(L\) that are a distance of \(2\) from \((5,6).\)
  2. A particle that moves at a constant velocity is at \((2,4)\) at \(2\), moves at a speed of \(1\), and intersects the point \((5,6)\). Find an equation for the position of the particle at time \(t.\)
  3. A particle moves at a constant velocity on \([2,5]\) and \((5,7]\). It is at \((0,1)\) at time \(2\), at \((1,5)\) at time \(5\) and at \((-2,5)\) at time \(7\). Find an equation for the position, \(\ell(t),\) of the particle at \(t\).
  4. Take \(L\) to be a line that passes through \((1,1)\) and \((2,-5).\) Determine the point \(p\) in \(L\) so that the distance from \((1,1)\) to \(p\) is three times the distance from \(p\) to \((2,-5).\)

Practice Problems

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