this is for holding javascript data
Ghlen Livid added vec_x_t_Delta_t__1.tex
almost 8 years ago
Commit id: 41eddd792f3b55f41b85fe034de1fe05d631869f
deletions | additions
diff --git a/vec_x_t_Delta_t__1.tex b/vec_x_t_Delta_t__1.tex
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+++ b/vec_x_t_Delta_t__1.tex
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$$\vec{x}(t + \Delta t) = \vec{x}(t) + \vec{v}(t) \Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2 + \frac{1}{6} \vec{b}(t) \Delta t^3 + O(\Delta t^4)$$
$$\vec{v}(t + \Delta t) = \vec{v}(t) + \frac{\vec{a}(t) + \vec{a}(t + \Delta t)}{2} \Delta t$$
$$\vec{v}(t + \Delta t) = \vec{v}(t) + \vec{a}(t) \Delta t + \frac{1}{2} \vec{b}(t) \Delta t^2 + O(\Delta t^3)$$
