Introduction to Scientific Computing - Tutorial 13: Recapitulation
Introduction to Scientific Computing - Tutorial 13: Recapitulation
Introduction to Scientific Computing - Tutorial 13: Recapitulation
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Previous HW- Skydiver mechanics<br />
First five seconds:<br />
∫<br />
∫<br />
dv 1<br />
2mg − v = 2m dt<br />
Take p := 2mg − v then dp = −dv:<br />
∫ dp<br />
p = − ∫ 1<br />
2m dt<br />
i.e.<br />
v = 2mg − Ce − 1<br />
2m t ,<br />
ln p = − 1<br />
2m t + ln C<br />
p = Ce − 1<br />
2m t<br />
v(0) = 0 ⇒ C = 2mg<br />
1. Februar 20<strong>13</strong> Bojana Rosic <strong>Introduction</strong> <strong>to</strong> <strong>Scientific</strong> <strong>Computing</strong> Seite 32
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