this is for holding javascript data
Ghlen Livid edited vec_v_t_Delta_t__.tex
almost 8 years ago
Commit id: 2ec6aade4cccb8b71c7b689831d4d92bfdb6c648
deletions | additions
diff --git a/vec_v_t_Delta_t__.tex b/vec_v_t_Delta_t__.tex
index 567a6b8..9acb44b 100644
--- a/vec_v_t_Delta_t__.tex
+++ b/vec_v_t_Delta_t__.tex
...
$$\vec{v}(t- \Delta t) \Delta t + \frac{1}{2} \vec{a}(t- \Delta t) \Delta t^2 = \vec{x}(t) - \vec{x}(t - \Delta t)$$ $$\vec x(t+\Delta t)=2\vec x(t)-\vec x(t-\Delta t)+\vec a(t)\,\Delta t^2$$
$$\vec{v}(t) \Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2 = \vec{x}(t+ \Delta t) - \vec{x}(t)$$ $$\vec x(t+2\Delta t)=2\vec x(t+\Delta t)-\vec x(t)+\vec a(t+\Delta t)\,\Delta t^2$$
$$(\vec{v}(t- \Delta $$\vec x(t+\Delta t) +
\vec{v}(t)) \Delta t + \frac{1}{2} (\vec{a}(t- \Delta t)+ \vec{a}(t)) \Delta t^2 \vec x(t+2\Delta t) =
\vec{x}(t + \Delta 2\vec x(t+\Delta t)
- \vec{x}(t - \Delta t)$$ + \vec x(t)-\vec x(t-\Delta t)+\vec a(t)\,\Delta t^2
+\vec a(t+\Delta t)\,\Delta t^2$$
