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Durchschnittsgeschwindigkeit

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Jul 16th, 2011
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  1. vd = 2s / (t1+t2) bekannt
  2. v1 = s / t1 bekannt
  3. v2 = s / t2 gesucht
  4.  
  5. Umformungen:
  6. t1 = s/v1
  7. t2 = s/v2
  8.  
  9. vd * (t1+t2) = 2s
  10. → vd*t1 + vd*t2 = 2s
  11. → vd*t2 = 2s - vd*t1
  12. → t2 = (2s - vd*t1) / vd
  13.  
  14. v2 = s / t2
  15. = s * vd / (2s - vd*t1)
  16. = s * vd / (2s - vd*s/v1)
  17. = s * vd / (s (2 - vd/v1))
  18. = vd / (2 - vd/v1)
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