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

A second object that starts later Problem set A Answers

Skills

    1. (a) \(\mathbf{r}_2 = \begin{pmatrix} 7(t - 0.4) \\ 9(t - 0.4) - 4.9(t - 0.4)^2 \end{pmatrix}\)
    2. (b) \(\mathbf{v}_2 = \begin{pmatrix} 7 \\ 9 - 9.8(t - 0.4) \end{pmatrix}\)
    1. (a) \(\mathbf{r}_2 = \begin{pmatrix} (t - 2)^2 \\ 3(t - 2) \end{pmatrix}\)
    2. (b) \(\begin{pmatrix} 9 \\ 9 \end{pmatrix}\) m
  1. 5.80 m

In context

  1. 13.5 m

    1. (a) \(\mathbf{r}_2 = \begin{pmatrix} 3(t - 1.5) \\ 16(t - 1.5) - 4.9(t - 1.5)^2 \end{pmatrix}\)
    2. (b) 6.48 m

Stretch

    1. (a) t = 1.93 s
    2. (b) 4.80 m

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