this is for holding javascript data
Ghlen Livid added vec_v_t_vec_v__.tex
almost 8 years ago
Commit id: 96fe43bbe121a8d8b3e54aa31f4935019f785773
deletions | additions
diff --git a/vec_v_t_vec_v__.tex b/vec_v_t_vec_v__.tex
new file mode 100644
index 0000000..38329d2
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+++ b/vec_v_t_vec_v__.tex
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$$\vec{v}(t) = \vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t$$
$$\vec{x}(t + \Delta t) = \vec{x}(t) + (\vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t) \Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2$$
$$\vec{x}(t + \Delta t) = \vec{x}(t) + \vec{v}(t - \Delta t) \Delta t + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t^2 + \frac{1}{2} \vec{a}(t) \Delta t^2$$
