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IB Mathematics: Applications and Interpretation HL · AHL 4: Vectors · AHL 4.27

A second object that starts later Problem set B Answers

Skills

    1. (a) \(\mathbf{r}_2 = \begin{pmatrix} 6(t - 0.7) \\ 13(t - 0.7) - 4.9(t - 0.7)^2 \end{pmatrix}\)
    2. (b) \(\mathbf{v}_2 = \begin{pmatrix} 6 \\ 13 - 9.8(t - 0.7) \end{pmatrix}\)
    1. (a) \(\mathbf{r}_2 = \begin{pmatrix} 0.5(t - 3)^2 \\ 4(t - 3) \end{pmatrix}\)
    2. (b) \(\begin{pmatrix} 4.5 \\ 12 \end{pmatrix}\) m
  1. 3.96 m

In context

  1. 8.31 m

    1. (a) \(\mathbf{r}_2 = \begin{pmatrix} 4(t - 1) \\ 13(t - 1) - 4.9(t - 1)^2 \end{pmatrix}\)
    2. (b) 8.57 m

Stretch

    1. (a) t = 1.42 s
    2. (b) 4.20 m

jmaths.xyz · AI HL · AHL 4.27 An object that starts later