this is for holding javascript data
Ghlen Livid added vec_v_t_Delta_t__.tex
almost 8 years ago
Commit id: f06ee3c73d13636a29ceee83bb06540699a828a1
deletions | additions
diff --git a/vec_v_t_Delta_t__.tex b/vec_v_t_Delta_t__.tex
new file mode 100644
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+++ b/vec_v_t_Delta_t__.tex
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$$ \vec{v}(t+\Delta t) = \vec{v}(t) + \vec{a}(t) \Delta t + \frac{1}{2} \vec{b}(t) \Delta t^2 + O(\Delta t^3) $$
$$ \vec{v}(t) = \vec{v}(t+\Delta t) - \vec{a}(t+\Delta t) \Delta t + \frac{1}{2} \vec{b}(t+\Delta t) \Delta t^2 + O(\Delta t^3)$$
$$ \vec{v}(t+\Delta t) = \vec{v}(t) + \vec{a}(t+\Delta t) \Delta t - \frac{1}{2} \vec{b}(t+\Delta t) \Delta t^2 + O(\Delta t^3)$$
$$ \vec{v}(t+\Delta t) = \vec{v}(t) + \frac{1}{2}( \vec{a}(t+\Delta t) + \vec{a}(t)) \Delta t + \frac{1}{4} (\vec{b}(t) - \vec{b}(t+\Delta t)) \Delta t^2 + O(\Delta t^3) $$
