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 amamitha ayi-10 entshonalanga , bese kuba amamitha ayi-12 eningizimu , bese kuba amamitha ayi-15 empumalanga . 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-37 o enyakatho yempumalanga amamitha ayi-100, bese iya amamitha ayi-100 enyakatho. Iyini indawo lapho into ihamba khona? sin 37 o = 0.6.
Kwaziwa:
Okufunwayo: Ubukhulu bokufuduka (R)
Isixazululo:
Isono 37 o = 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- 60 empumalanga ukusuka enyakatho ngamamitha angu-8. Uyini umphumela wokufuduka?
Kwaziwa:
a = a' = 4√3 amamitha
b = b' = amamitha angu-4
c = amamitha angu-8
d = ……
Okufunwayo: Umphumela wokufuduka
Isixazululo:
isono 30 o = 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 kwevektha? 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 kwevektha kuhluke kanjani ebangeni elihanjiwe? 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 nawokuphela, ngesiqondiso esithile, okwenza kube inani levektha.
3. Umbuzo: Uma umuntu ehamba amakhilomitha ama-3 enyakatho bese ehamba amakhilomitha ama-4 empumalanga, kuyini ukufuduka okubangelwa yilokhu? Impendulo: Ngokusebenzisa i-Pythagorean theorem yama-triangles angakwesokudla, ukufuduka okubangelwa yilokhu kuba ngu -√ 3 2 +4 2 okungu-5 km. Isiqondiso sisenyakatho-mpumalanga.
4. Umbuzo: Ingabe ubukhulu bokufuduka bungaba bukhulu kunebanga elihanjiwe? Impendulo: Cha, ubukhulu bokufuduka abusoze baba bukhulu kunebanga elihanjiwe. Kungalingana uma indlela iqondile noma ingaphansi uma indlela ethathiwe ingaqondile.
5. Umbuzo: Umuntu ukumela kanjani ukufuduka kwevektha ngemidwebo? Impendulo: Ukufuduka kwevektha kumelelwa ngemidwebo ngomcibisholo. Indawo yokuqala yomcibisholo ikhombisa indawo yokuqala, isihloko somcibisholo simele indawo yokugcina, kanti ubude bomcibisholo buhambisana nobukhulu bokufuduka.
6. Umbuzo: Kungani ukwengeza amavektha kubalulekile lapho kubalwa ukususwa kwenethi? Impendulo: Ukwengeza amavektha kubalulekile ngoba lapho kuhileleke ukususwa okuningi, kungenzeka kungabi sendaweni efanayo. Ngokufaka amavektha inhloko-nomsila, singanquma ukususwa okuphelele noma kwenethi kwento ngemva kokunyakaza okuningana.
7. Umbuzo: Uma into ibuyela endaweni yayo yokuqala ngemva kokuhambahamba, iyini indawo yayo yokuthutha? Impendulo: Uma into ibuyela endaweni yayo yokuqala, indawo yayo yokuthutha ingu-zero ngoba izikhundla zokuqala nezokugcina ziyafana.
8. Umbuzo: Ingabe ukufuduka kungaba nenani elibi? Impendulo: Ukufuduka ngokwakho njengevektha akunalo inani "elibi", kodwa izingxenye zakhona zingakwazi. Isibonelo, uma sibheka enyakatho njengehle, ukuthuthela eningizimu kungaba nengxenye engemihle. Konke kumayelana nesistimu yokubhekisela ekhethiwe noma yokuxhumanisa.
9. Umbuzo: Kungani ithi ukufuduka kuyivektha “ephumelayo”? Impendulo: Ukufuduka kubizwa ngokuthi yivektha “ephumelayo” ngoba kumelela umphumela ohlangene wazo zonke izinyakazo ngazinye (noma ukufuduka) okwenziwe 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.
