this is for holding javascript data
Ghlen Livid Deleted File
almost 8 years ago
Commit id: 8e05b3123d883a04d00c0c9e48b66f8743240b4a
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Comparing (6) with (3), we need to show only that
$$ \vec{x}(t) - \vec{x}(t-\Delta t) = \vec{v}(t-\Delta t)\Delta t + \frac{1}{2} \vec{a}(t-\Delta t) \Delta t^2 $$
to prove that (6) (which is derived from (1), (2)) is equivalent to (3)
We can shift this equation $\Delta t$ forward in time:
$$ \vec{x}(t+\Delta t) - \vec{x}(t) = \vec{v}(t)\Delta t + \frac{1}{2} \vec{a}(t) \Delta t^2 $$