this is for holding javascript data
Ghlen Livid added Then_vec_v_t_Delta__.tex
almost 8 years ago
Commit id: 6692d46c1bdbb453f9d3e83893cf8fbe1d4b233c
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diff --git a/Then_vec_v_t_Delta__.tex b/Then_vec_v_t_Delta__.tex
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Then
$$ \vec{v}(t + \Delta t) = \frac{\vec{x}(t+2\Delta t) - \vec{x}(t)}{2 \Delta t} $$
And to show (2) follows from (3) we just need to show that
$$ \frac{\vec{x}(t+2\Delta t) - \vec{x}(t) - \vec{x}(t+\Delta t) + \vec{x}(t-\Delta t)}{2 \Delta t} = \frac{\vec{a}(t) + \vec{a}(t + \Delta t)}{2} \Delta t$$
