Answer: Air Traffic Control Because of a storm, ground controllers instruct the pilot of
Chapter 12, Problem 83(choose chapter or problem)
Air Traffic Control Because of a storm, ground controllers instruct the pilot of a plane flying at an altitude of 4 miles to make a \(90^{\circ}\) turn and climb to an altitude of 4.2 miles. The model for the path of the plane during this maneuver is
\(\mathbf{r}(t)=\langle 10 \cos 10 \pi t, 10 \sin 10 \pi t, 4+4 t\rangle\), \(0 \leq t \leq \frac{1}{20}\)
Where t is the time in hours and r is the distance in miles.
(a) Determine the speed of the plane.
(b) Use a computer algebra system to calculate \(a_{T}\) and \(a_{N}\). Why is one of these equal to 0?
Text Transcription:
90^circ
a_T
a_N
r(t)= langle 10 cos 10 pi t, 10 sin 10 pi t, 4+4 t rangle
0 leq t leq 1/20
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