Math Solutions

(See Steps) Air Speed The air speed of a small airplane during the first 25 seconds of takeoff and flight can modeled by v(t)=-940,602 t^2+19,269.3 t-0.3

Question: Air Speed The air speed of a small airplane during the first 25 seconds of takeoff and flight can modeled by

\[v(t)=-940,602 t^{2}+19,269.3 t-0.3 \mathrm{mph}\]

\(t\) hours after takeoff.

  1. Find the value of \(\int_{0}^{0.005} v(t) d t\).
  2. Interpret your answer in context.

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