Ukufuduka kwe-Vector - izinkinga nezixazululo
1. Umuntu uhamba ukusuka endaweni A ukuya endaweni B, amamitha angu-600 enyakatho; bese efika endaweni C, amamitha angu-400 entshonalanga; bese efika endaweni D, amamitha angu-200 eningizimu; bese eqeda endaweni E, amamitha angu-700 empumalanga. Ungakanani ubukhulu bokufuduka?
Isixazululo:
Kwaziwa:
AF = AB – BF = AB – CD = 600 – 200 = 400 m
EF = DE – DF = DE – BC = 700 – 400 = 300 m
2. Umuntu uhamba Imitha ye-10entshonalanga, ke Imitha ye-12eningizimu, bese Imitha ye-15empumalanga. Kuyini ukufuduka kusuka endaweni yokuqala?
3. Umuntu uhamba imitha eli-1 entshonalanga, bese kuba amamitha ama-3 eningizimu, bese kuba amamitha ama-5 empumalanga. Kuyini ukufuduka kusuka endaweni yokuqala?
4. Kuyini ukufuduka kwento ngokwesithombe esingezansi.
5. Umuntu uhamba amamitha angu-80 enyakatho, bese kuba amamitha angu-80 empumalanga bese kuba amamitha angu-20 eningizimu. Kuyini ukufuduka komuntu?
6. Umuntu uhamba amamitha ayi-6 empumalanga, bese kuba amamitha ayi-6 eningizimu bese kuba amamitha ama-2 empumalanga. Kuyini ukufuduka komuntu?
7. Into ihamba amamitha angu-40 empumalanga, bese ihamba iye ohlangothini olungama-37o enyakatho yempumalanga ngamamitha ayi-100, bese kuba ngamamitha ayi-100 enyakatho. Kuyini ukufuduka kwale nto? syn 37o = 0.6.
Kwaziwa:
Kufunwa: Ubukhulu bokufuduka (R)
Isixazululo:
Ngaphandle kwama-37o = c / d
0.6 = c / 100
c = (100)(0.6)
c = amamitha angu-60
Ivektha ephumela:
8. Into ihamba ngamamitha angu-4√3 entshonalanga, bese ihamba ngamamitha angu-4 enyakatho, bese ihamba ngendlela engamamitha angu-60o ukusuka enyakatho ukuya empumalanga ngamamitha angu-8. Uyini umphumela wokufuduka?
Kwaziwa:
a = a' = 4√3 amamitha
b = b' = amamitha angu-4
c = amamitha angu-8
d = ……
Kufunwa: Umphumela wokufuduka
Isixazululo:
ngaphandle 30o = d / c
0.5 = d / 8
d = (0.5)(8)
d = amamitha angu-4
Umphumela wokufuduka:
R = b' + d
R = amamitha angu-4 + amamitha angu-4
R = amamitha angu-8
1. Umbuzo: Kuyini ukufuduka kwe-vector? Impendulo: Ukufuduka kwevektha kuyinani levektha elichaza ushintsho endaweni yento. Linobukhulu kanye nesiqondiso, likhomba ngqo kusukela endaweni yokuqala kuya endaweni yokugcina, kungakhathaliseki ukuthi indlela ithathwe yiphi.
2. Umbuzo: Ukufuduka kwe-vector kuhluke kanjani ebangeni elihanjwayo? Impendulo: Ibanga elihanjiwe limelela ubude obuphelele bendlela ethathwe yinto, futhi liyinani elilinganiselwe. Ukufuduka kwevektha, ngakolunye uhlangothi, kuchaza ibanga elifushane kakhulu lomugqa oqondile phakathi kwamaphuzu okuqala nawokugcina, ngesiqondiso esithile, okwenza kube yinani levektha.
3. Umbuzo: Uma umuntu ehamba amakhilomitha amathathu enyakatho bese ehamba amakhilomitha amane empumalanga, kuyini ukufuduka okubangelwa yilokhu? Impendulo: Ngokusebenzisa i-Pythagorean theorem yonxantathu abangakwesokudla, ukufuduka okuphumelayo kuba √32+42 okungamakhilomitha ama-5. Indlela eya kuyo isenyakatho-mpumalanga.
4. Umbuzo: Ingabe ubukhulu bokufuduka bungaba bukhulu kunebanga eliphelele elihanjiwe? Impendulo: Cha, ubukhulu bokufuduka abusoze baba bukhulu kunebanga elihanjiwe. Kungalingana uma indlela iqondile noma ingaphansi uma indlela ethathiwe ingaqondile.
5. Umbuzo: Umuntu ukumelela kanjani ukufuduka kwevektha ngemidwebo? Impendulo: Ukufuduka kwevektha kumelelwa ngemifanekiso ngumcibisholo. Indawo yokuqala yomcibisholo ikhombisa indawo yokuqala, isihloko somcibisholo simele indawo yokugcina, kanti ubude bomcibisholo buhambisana nobukhulu bokufuduka.
6. Umbuzo: Kungani ukwengeza i-vector kubalulekile lapho kubalwa ukufuduka kwenethi? Impendulo: Ukwengezwa kwamavektha kubalulekile ngoba lapho kuhileleke ukufuduka okuningi, kungenzeka kungabi sendaweni efanayo. Ngokufaka amavektha inhloko-nomsila, singakwazi ukunquma ukufuduka okuphelele noma okunetha kwento ngemva kokunyakaza okuningana.
7. Umbuzo: Uma into ibuyela endaweni yayo yokuqala ngemva kokuhambahamba, iyini indawo yayo yokuhamba? Impendulo: Uma into ibuyela endaweni yayo yokuqala, ukufuduka kwayo ku-zero ngoba izikhundla zokuqala nezokugcina ziyafana.
8. Umbuzo: Ingabe ukufuduka kungaba nenani elibi? Impendulo: Ukuzisusa ngokwakho njengevektha akunalo inani "elibi", kodwa izingxenye zalo zingakwazi. Isibonelo, uma sibheka enyakatho njengehle, ukuya eningizimu kungaba nengxenye engemihle. Konke kumayelana nesistimu yokubhekisela ekhethiwe noma yokuxhumanisa.
9. Umbuzo: Kungani kuthiwa ukufuduka kuyindlela "ephumela"? Impendulo: Ukususwa endaweni ethile kubizwa ngokuthi i-vector “ephumelayo” ngoba kumelela umphumela ohlangene wazo zonke izinyakazo ngazinye (noma ukufuduka) okwenziwa yinto. Kufingqa ushintsho oluphelele endaweni.
10. Umbuzo: Isiqondiso sevektha yokufuduka sinqunywa kanjani? Impendulo: Isiqondiso sevektha yokufuduka sinqunywa umugqa oxhumanisa indawo yokuqala nendawo yokugcina. Ukhomba ngqo kusukela ekuqaleni kuya ekugcineni.
