Kubviswa kweVector - matambudziko nemhinduro
1. Munhu anofamba kubva panzvimbo A kuenda panzvimbo B, mamita 600 kuchamhembe; ozoenda panzvimbo C, mamita 400 kumadokero; ozoenda panzvimbo D, mamita 200 kuchamhembe; ozopedzisa panzvimbo E, mamita 700 kumabvazuva. Kufamba kwenzvimbo iyi kwakakura sei?
Solution:

Zvinozivikanwa:
AF = AB – BF = AB – CD = 600 – 200 = 400 m
EF = DE – DF = DE – BC = 700 – 400 = 300 m

2. Munhu anofamba mamita gumi kumadokero , ozotevera mamita gumi nemaviri kuchamhembe , ozotevera mamita gumi nemashanu kumabvazuva . Chii chiri kusuduruka kubva panzvimbo yekutanga?

3. Munhu anofamba mita imwe kumadokero, ozofamba mamita matatu kuchamhembe, ozofamba mamita mashanu kumabvazuva. Chii chiri kusuduruka kubva panzvimbo yekutanga?
4. Chii chinonzi kuchinjika kwechinhu zvichienderana nemufananidzo uri pazasi?


5. Munhu anofamba mamita makumi masere kuchamhembe, ozofamba mamita makumi masere kumabvazuva ozofamba mamita makumi maviri kuchamhembe. Chii chinonzi kufamba kwemunhu wacho?

6. Munhu anofamba mamita matanhatu kumabvazuva, ozofamba mamita matanhatu kumaodzanyemba ozofamba mamita maviri kumabvazuva. Chii chinonzi kufamba kwemunhu wacho?

7. Chinhu chinofamba mamita makumi mana kumabvazuva, chobva chafamba nenzira ye37 o kuchamhembe kwekumabvazuva kwemamita zana, chobva chafamba mamita zana kuchamhembe. Chii chinonzi kusuduruka kwechinhu chacho? sin 37 o = 0.6.
Zvinozivikanwa:

Zvinodiwa: Hukuru hwekutama kwevanhu (R)
Solution:
Chivi 37 o = c / d
0.6 = c / 100
c = (100)(0.6)
c = mamita makumi matanhatu

Vekitori inoguma:

8. Chinhu chinofamba 4√3 metres kumadokero, wozofamba 4 metres kuchamhembe, wobva wafamba nenzira 60 o kumabvazuva kubva kuchamhembe kwemamita 8. Chii chinoguma nekubviswa kwechinhu ichi?
Zvinozivikanwa:
a = a' = 4√3 mamita
b = b' = mamita mana
c = mamita makumi matanhatu
d = ……
Zvinodiwa: Mugumisiro wekudzingwa kwevanhu
Solution:
chivi 30 o = d / c
0.5 = d / 8
d = (0.5)(8)
d = mamita zana nemakumi mashanu

Mhedzisiro yekudzingwa:
R = b' + d
R = mamita mana + mamita mana
R = mamita masere
1. Mubvunzo: Chii chinonzi vector displacement? Mhinduro: Vector displacement inhamba yevector inotsanangura shanduko yenzvimbo yechinhu. Ine hukuru negwara, inonongedza zvakananga kubva panzvimbo yekutanga kusvika panzvimbo yekupedzisira, zvisinei nenzira yatorwa.
2. Mubvunzo: Kufamba kwevector kwakasiyana sei nekufamba kwenguva? Mhinduro: Kufamba kwenguva refu kunomiririra hurefu hwese hwenzira inotorwa nechinhu, uye huwandu hwe scalar. Kufamba kwevector, kune rumwe rutivi, kunotsanangura daro pfupi rakatwasuka pakati penzvimbo dzekutanga nedzekupedzisira, negwara rakati, zvichiita kuti ive huwandu hwevector.
3. Mubvunzo: Kana munhu akafamba makiromita matatu kuchamhembe uye obva afamba makiromita mana kumabvazuva, chii chinobuda ipapo? Mhinduro: Nekushandisa dzidziso yePythagorean yematriangles ekurudyi, kubuda ikoko kunobuda ipapo i √ 3 2 +4 2 inova makiromita mashanu. Nzira iri kuchamhembe kwakadziva kumabvazuva.
4. Mubvunzo: Hukuru hwekutama hunogona here kupfuura daro rose rakafambwa? Mhinduro: Kwete, hukuru hwekutama hunogona kumbopfuura daro rose rakafambwa. Hunogona kuenzana kana nzira iri mutsetse wakatwasuka kana kuti uri pasi kana nzira yakatorwa isina kutwasuka.
5. Mubvunzo: Munhu anomiririra sei kufamba kwevector nemifananidzo? Mhinduro: Kufamba kwevector kunomiririrwa nemifananidzo nemuseve. Panotangira museve panoratidza nzvimbo yekutanga, muromo wemuseve unomiririra nzvimbo yekupedzisira, uye kureba kwemuseve kunoenderana nehukuru hwekufamba.
6. Mubvunzo: Sei kuwedzera mavector kuchikosha pakuverenga kuchinjika kwemambure? Mhinduro: Kuwedzera mavector kwakakosha nekuti kana kuchinjika kwakawanda kunobatanidzwa, kunogona kunge kusiri kwese kwakafanana. Nekuwedzera mavectors musoro-ku-muswe, tinogona kuona kuchinjika kwese kana kweneti kwechinhu mushure mekufamba kwakawanda.
7. Mubvunzo: Kana chinhu chikadzokera panzvimbo yacho mushure mekufamba-famba, chii chinonzi nzvimbo yacho? Mhinduro: Kana chinhu chikadzokera panzvimbo yacho, nzvimbo yacho inenge iri zero nekuti nzvimbo dzekutanga nedzekupedzisira dzakafanana.
8. Mubvunzo: Kuchinjana kunogona kuva neukoshi hwakaipa here? Mhinduro: Kuchinjana pachako seveki hakuna kukosha "kwekuipa", asi zvikamu zvayo zvinogona. Semuenzaniso, kana tikafunga kuchamhembe sekwakanaka, kuenda kumaodzanyemba kwaizova nechikamu chisina kunaka. Zvese ndezvehurongwa hwakasarudzwa hwekutarisa kana kuti coordinate.
9. Mubvunzo: Sei ichiti kutama i "resultant" vector? Mhinduro: Kutama kunonzi "resultant" vector nekuti kunomiririra mhedzisiro yakabatana yemafambiro ese (kana kutama) anoitwa nechinhu. Kunopfupikisa shanduko yese munzvimbo.
10. Mubvunzo: Nzira yekufamba kwevector inoonekwa sei? Mhinduro: Nzira yekufamba kwevector inoonekwa nemutsetse unobatanidza nzvimbo yekutanga nenzvimbo yekupedzisira. Unonongedza zvakananga kubva pakutanga kusvika kumagumo.