Ghlen Livid Deleted File  almost 8 years ago

Commit id: 67d4f49ec087658d59e581dc2e5a200d4afc0dbb

deletions | additions      

         

If we assume  $$ \vec{v}(t) = \frac{\vec{x}(t+\Delta t) - \vec{x}(t-\Delta t)}{2 \Delta t} $$  then  $$ \vec{v}(t) = \frac{\vec{x}(t+\Delta t) - \vec{x}(t) + \vec{x}(t) - \vec{x}(t-\Delta t)}{2 \Delta t} $$  $$ \vec{v}(t) = \frac{1}{2} (\frac{\vec{x}(t+\Delta t) - \vec{x}(t)}{\Delta t} + \frac{\vec{x}(t) - \vec{x}(t-\Delta t)}{\Delta t} ) $$  $$ \vec{v}(t+\Delta t) = \frac{\vec{x}(t+2 \Delta t) - \vec{x}(t)}{2 \Delta t} $$