Kubviswa kweVector - ​​matambudziko nemhinduro

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. Ukuru hwemugwagwa uyu hwakaita sei? kudzingiswa?

Solution:

Zvinozivikanwa:

AF = AB – BF = AB – CD = 600 – 200 = 400 m

EF = DE – DF = DE – BC = 700 – 400 = 300 m

2. Munhu anofamba 10 mamitakumadokero, ipapo 12 mamitakuchamhembe, ndokuzo 15 mamitakumabvazuva. Chii chiri kuchinjika kubva pane point 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, wozotevera mamita zana kuchamhembe. Chii chinonzi kusuduruka kwechinhu chacho? chivi 37^o = 0.6.

Zvinozivikanwa:

Zvaidiwa: Kukura kwekutama (R)

Solution:

Pasina makumi matatu nemaviri^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 waenda nenzira ye60^o kubva kuchamhembe kwemamita 8. Chii chakakonzerwa nekutama kwevanhu ava?

Zvinozivikanwa:

a = a' = 4√3 mamita

b = b' = mamita mana

c = mamita makumi matanhatu

d = ……

Zvaidiwa: Mhedzisiro yekudzingwa

Solution:

pasina 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 kuchinjika kwevector? Pindura: Kuchinja kwevector 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 nedaro rakafambwa? Pindura: Kureba kwakafambwa kunomiririra hurefu hwese hwenzira inotorwa nechinhu, uye huwandu hwe scalar. Kuchinja 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 chinozoitika kana achifamba? Pindura: Nekushandisa dzidziso yePythagorean yemakona matatu ekurudyi, mhedzisiro yacho inoshanduka. √3²+4² inova makiromita mashanu. Kuenda kwacho kuri kuchamhembe kwakadziva kumabvazuva.

4. Mubvunzo: Hukuru hwekutama kwevanhu hunogona kupfuura daro rese rakafambwa here? Pindura: Kwete, hukuru hwekutama haugone kupfuura daro rose rakafambwa. Hunogona kuenzana kana nzira iri mutsetse wakatwasuka kana kuti uri pasi kana nzira yakatorwa isina kutwasuka.

5. Mubvunzo: Munhu anomiririra sei kutama kwevector nemifananidzo? Pindura: Kuchinja kwevector kunomiririrwa nemufananidzo nemuseve. Panotangira museve panoratidza nzvimbo yekutanga, muromo wemuseve unomiririra nzvimbo yekupedzisira, uye kureba kwemuseve kunoenderana nehukuru hwekuchinja.

6. Mubvunzo: Sei kuwedzera vector kuchikosha pakuverenga kufambiswa kweneti? Pindura: Kuwedzera mavector kwakakosha nekuti kana paine kuchinjana kwakasiyana-siyana, zvinogona kunge zvisiri munzira imwe chete. Nekuwedzera mavectors kubva kumusoro kuenda kumuswe, tinogona kuona kuchinjika kwechinhu mushure mekufamba kwakawanda.

7. Mubvunzo: Kana chinhu chikadzokera panzvimbo yacho mushure mekufamba-famba, chii chinochichinja? Pindura: Kana chinhu chikadzokera panzvimbo yacho yekutanga, kutama kwacho kunenge kuri zero nekuti nzvimbo dzekutanga nedzekupedzisira dzakafanana.

8. Mubvunzo: Kudzingwa kunogona kuva nemhedzisiro yakaipa here? Pindura: Kuzviparadzanisa sevector hakuna kukosha kwe "negative", asi zvikamu zvayo zvinogona. Semuenzaniso, kana tikafunga kuchamhembe sezvakanaka, kuenda kumaodzanyemba kwaizova nechikamu chisina kunaka. Zvese ndezvehurongwa hwakasarudzwa hwekutarisa kana kuti coordinate.

9. Mubvunzo: Sei zvichinzi displacement ipfungwa "inokonzera"? Pindura: Kuchinja nzvimbo kunonzi "mhedzisiro" ye "mhedzisiro" nekuti kunomiririra mhedzisiro yakabatana yemafambiro ese (kana kuchinjika) kunoitwa nechinhu. Kunopfupikisa shanduko yese munzvimbo.

10. Mubvunzo: Nzira yekufamba kwevector inosarudzwa sei? Pindura: Kutungamira kwevector yekutama kunotsanangurwa nemutsetse unobatanidza nzvimbo yekutanga nenzvimbo yekupedzisira. Unonongedza zvakananga kubva pakutanga kusvika kumagumo.