this is for holding javascript data
Ghlen Livid added vec_x_t_Delta_t__.tex
almost 8 years ago
Commit id: f1a76ff8188b2de815ed8255359f91d6689d8fc8
deletions | additions
diff --git a/vec_x_t_Delta_t__.tex b/vec_x_t_Delta_t__.tex
new file mode 100644
index 0000000..8c456ee
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+++ b/vec_x_t_Delta_t__.tex
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$$\vec{x}(t + \Delta t) = \vec{x}(t) + \vec{v}(t)\, \Delta t + \frac{1}{2} \,\vec{a}(t) \Delta t^2$$
$$\vec{v}(t + \Delta t) = \vec{v}(t) + \frac{\vec{a}(t) + \vec{a}(t + \Delta t)}{2} \Delta t$$
$$\vec{v}(t) = \vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t$$
$$\vec{x}(t + \Delta t) = \vec{x}(t) + (\vec{v}(t - \Delta t) + \frac{\vec{a}(t - \Delta t) + \vec{a}(t)}{2} \Delta t) \Delta t + \frac{1}{2} \,\vec{a}(t) \Delta t^2$$
