Exercise
https://texercises.com/exercise/dropping-secret-documents/
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Exercise:
Spymaster Paul flying a constant kilometerperhour horizontally in a low-flying helicopter wants to drop secret documents o his contact's open car which is travelling kilometerperhour on a level highway .m below. At what angle to the horizontal should the car be in his sights when the packet is released?

Solution:
newqtyve. newqtyvz. newqtyy.m % Geg v_   ve v_ vz y y % GesWinkelalphatext in sidegree % The relative velocity in horizontal direction between Paul and his contact is solqtyvov_-v_ven-vzn al v_ vof ve - vz vo. % From a height of y it takes the document solqtytsqrtfracygsqrt*yn/gMns al t tf sqrtfrac ygM t to fall o the car. Thus the document travels solqtyxv_-v_ sqrtfracygvon*tnm al x v_t xf vo t x further than the car. These x are the length of the opposite leg of a right-angled triangle. The adjacent leg corresponds to the height of y. Thus the angle at which the car should be in sight is solqtyaarctanfracv_-v_ sqrtfracgyatandyn/xndegree al alpha arctanfracyx af arctanfracyx aTTTT. % alpha af aTTT
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\(\LaTeX\)-Code
Exercise:
Spymaster Paul flying a constant kilometerperhour horizontally in a low-flying helicopter wants to drop secret documents o his contact's open car which is travelling kilometerperhour on a level highway .m below. At what angle to the horizontal should the car be in his sights when the packet is released?

Solution:
newqtyve. newqtyvz. newqtyy.m % Geg v_   ve v_ vz y y % GesWinkelalphatext in sidegree % The relative velocity in horizontal direction between Paul and his contact is solqtyvov_-v_ven-vzn al v_ vof ve - vz vo. % From a height of y it takes the document solqtytsqrtfracygsqrt*yn/gMns al t tf sqrtfrac ygM t to fall o the car. Thus the document travels solqtyxv_-v_ sqrtfracygvon*tnm al x v_t xf vo t x further than the car. These x are the length of the opposite leg of a right-angled triangle. The adjacent leg corresponds to the height of y. Thus the angle at which the car should be in sight is solqtyaarctanfracv_-v_ sqrtfracgyatandyn/xndegree al alpha arctanfracyx af arctanfracyx aTTTT. % alpha af aTTT
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Attributes & Decorations
Branches
Kinematics
Tags
car, fall, free, helicopter, horizontal, kinematics, mechanics, physics, spymaster, throw
Content image
Difficulty
(3, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
Decoration
File
Link