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Introduction to Scientific Computing - Tutorial 13: Recapitulation

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Previous HW- Skydiver mechanics<br />

Let us now solve the second part for time interval after 5s:<br />

m dv<br />

dt<br />

i.e. let us divide it by m:<br />

then<br />

= mg − kv 2 , k = 70<br />

m<br />

k<br />

m<br />

k<br />

dv<br />

dt<br />

mg<br />

k<br />

= mg<br />

k<br />

− v2<br />

dv<br />

= dt<br />

− v2<br />

∫<br />

dv<br />

√ = k ∫<br />

dt<br />

( mg<br />

k )2 − v 2 m<br />

1. Februar 20<strong>13</strong> Bojana Rosic <strong>Introduction</strong> <strong>to</strong> <strong>Scientific</strong> <strong>Computing</strong> Seite 36

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