Mibvunzo yemuenzaniso weVector yeKudzingwa

Mienzaniso gumi nemiviri yeMibvunzo yeVector yeKudzingwa

1. Fitria akaita rwendo rwekutevera nhanho dzake achitangira panhamba A kusvika panhamba B: 600 m kuchamhembe; kusvika panhamba C 400 m kumadokero; kusvika panhamba D 200 m kuchamhembe; uye ozoguma panhamba E 700 m kumabvazuva. Hukuru hwekutama kwakaonekwa naFitria hwakakura….
A. 100 m
B. 300 m
C. 500 m
D. 1500 m
E. 1900 m
Kukurukurirana

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

Kuchamhembe kwakadziva kumabvazuva.
Mhinduro chaiyo ndiC.

2. Mwana anofamba akananga mamita gumi kumadokero, ozotendeukira kumaodzanyemba kwemamita gumi nemaviri, ozotendeukira kumabvazuva zvakare kwemamita gumi nemashanu. Kufamba kwemwana kubva panzvimbo yake yekutanga kuri...

A. 18 mamita kumaodzanyemba kwakadziva kumadokero
B. mamita mashanu kumaodzanyemba
C. 13 mamita kumaodzanyemba kwakadziva kumabvazuva
D. 12 mamita kumabvazuva
E. 10 mamita kumaodzanyemba kwakadziva kumabvazuva

3. Mwana anofamba akananga mamita gumi kumadokero obva atendeukira kumaodzanyemba kwemamita gumi nemaviri, obva atendeukira kumabvazuva zvakare kwemamita gumi nemashanu. Kufamba kwemwana kubva panzvimbo yake yekutanga kuri...
A. 18 mamita kumaodzanyemba kwakadziva kumadokero
B. mamita mashanu kumaodzanyemba
C. 13 mamita kumaodzanyemba kwakadziva kumabvazuva
D. 12 mamita kumabvazuva
E. 10 mamita kumaodzanyemba kwakadziva kumabvazuva

4. Mwana anofamba akananga mamita gumi kumadokero, ozotendeukira kumaodzanyemba kwemamita mana, ozotendeukira kumabvazuva zvakare kwemamita gumi nematatu. Kufamba kwemwana kubva panzvimbo yake yekutanga kuri...
A. 18 mamita kumaodzanyemba kwakadziva kumadokero
B. mamita mashanu kumaodzanyemba
C. 10 mamita kumaodzanyemba kwakadziva kumabvazuva
D. 6 mamita kumabvazuva
E. 5 metres kumaodzanyemba kwakadziva kumabvazuva
Kukurukurirana

5. Chinhu chinofamba munzira sezvakaratidzwa pagirafu inotevera:

Kutamiswa kunoitika nechinhu ndiko….
A. 23 m
B. 21 m
C. 19 m
D. 17 m
E. 15 m

6. Mwana anomhanya 80 m kuchamhembe, ozotendeuka 80 m kumabvazuva uye 20 m kuchamhembe. Kukura kwekutama kwakaitwa nemwana uyu...

A. 060 m
B. 080 m
C. 100 m
D. 120 m
E. 180 m

7. Budi anofamba mamita matanhatu kumabvazuva, wozobva afamba mamita matanhatu kumaodzanyemba, uye mamita maviri kumabvazuva. Kufamba kwaBudi kubva panzvimbo yake yekutanga kwave...
A. 20 m
B. 14 m
C. 12 m
D. 10 m
E. 8 m

8. Chinhu chinofamba chichienda kumabvazuva 40 m, chobva chaenda kuchamhembe kwakadziva kumabvazuva nekona ye37o kuenda kunzvimbo yakatwasuka kwemamita zana, chobva chaenda kuchamhembe 100 m. Hukuru hwekusuduruka kunoitwa nechinhu chacho ndehwe…. (chivi 37^o = 0,6)
A. 180 m
B. 200 m
C. 220 m
D. 240 m
E. 300 m
Kukurukurirana
Zvinozivikanwa kuti:

Mubvunzo: Hukuru hwekutama (R)
Mhinduro:

9. Chinhu chinofamba 4√3 m kuenda kumadokero, choenderera mberi nerwendo rwacho 4 m kuenda kuchamhembe, chobva chatendeuka 60o kuenda kumabvazuva kwemamita masere. Hukuru hwerwendo rwechinhu chacho ndehwekuti….
A. 2 m
B. 4 m
C. 4√3 m
D. 6 m
E. 8 m
Kukurukurirana

Zvichibva pakuverenga uku, zvakagumiswa kuti kukosha kwe a = kukosha kwe a' = 4√3 metres.
Verenga kufamba kunobva pachinhu (R):
R = b' + d = mamita mana + mamita mana
R = mamita masere
Mhinduro chaiyo ndiE.

10. Pamutambo we "City Marathon Festival" muna Gumiguru 2014 muJakarta, paive nemapoka mana ekumhanya, anoti chikamu chemarathon yakazara (42 km), chikamu chehafu marathon (21 km), chikamu chemakiromita gumi, uye chikamu chemakiromita mashanu, uko nzira yechikamu chimwe nechimwe yakanga yasarudzwa. Mujaho uyu wemarathon wakatangira pachivakwa cheBung Karno Gelora ndokuzopera paMonas. Mumwe wevatori vechikamu vemujaho anonzi Andri akatora chikamu mumujaho wemarathon yakazara uye akakwanisa chete kufukidza nzira kubva pamapoinzi A, B, naC sezvakaratidzwa pamufananidzo 2.

Kana bhokisi rimwe richimiririra 1 km, zvinoreva kuti kufamba kwese kwakaitwa naAndri…

A. 26 km

B. 20 km

Nzvimbo yeC. 12 km

D. 10 km

E. 8 km

Kukurukurirana

Kureba kwerutivi rwezasi = 8 km, kureba kwerutivi rwepamberi = 6 km.

Uchishandisa fomura yePythagorean, Kutama = R = 10 km

Mhinduro chaiyo ndiD.

11. Chinhu chinofamba chichienda kumabvazuva 40 m chobva chaenda kuchamhembe kwakadziva kumabvazuva nekona ye37 ^o kusvika panzvimbo yakatwasuka kwemamita zana, chobva chaenda kuchamhembe 100 m. Hukuru hwekutama kunoitwa nechinhu chacho ndehwekuti…. (sin 37 ^o = 0,6)

A. 180 m
B. 200 m
C. 220 m
D. 240 m
E. 300 m

Kukurukurirana
Zvinozivikanwa kuti:
a = mamita makumi mana
b = ….
c = ….
d = mamita zana
e = mamita zana
θ = 37o
chivi 37o = 0,6

Mubvunzo: Hukuru hwekutama (R)
Mhinduro:

Verenga kukosha kwe c:
Pasina makumi matatu nemaviri^o = c / d
0,6 = c / 100
c = (100)(0,6)
c = mamita makumi matanhatu
Verenga kukosha kwe b:
Hitung vhekitori inoguma kudzingwa:
Mhinduro chaiyo ndeiyi B.

12. Chinhu chinofamba 4√3 m kuenda kumadokero, choenderera mberi nerwendo rwacho 4 m kuenda kuchamhembe, chobva chatenderera 60 ^o kuenda kumabvazuva kwemamita masere. Hukuru hwerwendo rwechinhu chacho ndehwekuti….

A. 2 m
B. 4 m
C. 4√3 m
D. 6 m
E. 8 m

Kukurukurirana
Zvinozivikanwa kuti:
a = a' = 4√3 mamita
b = b' = mamita mana
c = mamita makumi matanhatu
d = ……
Yabvunzwa: Kufamba kwechinhu kunobuda (R)
Mhinduro:
Verenga kukosha kwe d:
pasina 30^o = d / c
0,5 = d / 8
d = (0,5)(8)
d = mamita zana
Verenga kukosha kwe':

Zvichibva pakuverenga uku, zvakagumiswa kuti kukosha kwe a = kukosha kwe a' = 4√3 metres.

Verenga kufamba kunobva pachinhu (R):

R = b' + d = mamita mana + mamita mana

R = mamita masere

Mhinduro chaiyo ndiE.

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa