Muenzaniso weMibvunzo yeGirafu yeKufamba kweMutsetse Wakatwasuka

Mienzaniso gumi nemitatu yeMibvunzo yeGirafu yeKufamba kweLinear

1. Kubva pagirafu iri pamusoro, chinoratidza chinhu chiri pazororo ndeche...
A. (1)
B. (2)
C. (3)
D. (4)
E. (5)
Kukurukurirana
Chinhu chiri pakamira chinoratidzwa nemutsetse wakataramuka wakatarisana ne axis (s) yedaro. Mutsetse uyu wakatwasuka unoratidza kuti daro rinoramba rakafanana sezvo nguva ichiwedzera.
Mhinduro chaiyo ndiC.

2. Kufamba kwechinhu kunoratidzwa negirafu yenzvimbo (s) vs nguva (t) sezvakaratidzwa mumufananidzo uri pazasi. Chikamu chegirafu chinoratidza chinhu chiri pachigaro ndicho chikamu...
A. (1)
B. (2)
C. (3)
D. (4)
E. (5)
Kukurukurirana
Mutsetse wemuseve wakatwasuka kurudyi = axis yenguva (t). Mutsetse paunofamba uchienda kurudyi, nguva inowedzera. Mutsetse wemuseve wakatwasuka kumusoro = axis yenzvimbo (s). Mutsetse unokwira kumusoro, nzvimbo inowedzera. Chinhu chiri pakuzorora, zvichireva kuti nzvimbo yechinhu yacho yakamira, kureva kuti haichinje.
(1) Girafu 1 inoratidza kuti nzvimbo yechinhu inowedzera nekufamba kwenguva (chinhu chinofamba chichienda mberi).
(2) Girafu 2 inoratidza nzvimbo yechinhu chakamira kwenguva yakati rebei (chinhu chacho chakamira kana kuti hachifambi).
(3) Girafu 3 inoratidza kuti nzvimbo yechinhu inowedzera nekufamba kwenguva (chinhu chinofamba chichienda mberi).
(4) Girafu 4 inoratidza nzvimbo yechinhu ichi ichiderera nekufamba kwenguva (chinhu chacho chiri kudzokera kumashure).
(5) Girafu 5 inoratidza kuti nzvimbo yechinhu inowedzera nekufamba kwenguva (chinhu chinofamba chichienda mberi).
Mhinduro chaiyo ndeiyi B.

3. Girafu riri pazasi igrafu yeGLBB, apo v inomiririra kumhanya uye t inomiririra nguva. Hukuru hwekumhanya kwechinhu kubva pagirafu ndehwekuti...
A. 50 ms^-2
B. 25 ms^-2
C. 10 ms^-2
D. 5 ms^-2
E. 2,5 ms^-2
Kukurukurirana

4. Munhu anofamba nemotokari kubva muguta A kuenda kuguta B, sezvakaratidzwa mugirafu riri pazasi, Y axis ndiyo chikamu chekumhanya uye X axis ndiyo chikamu chenguva, saka daro rinofambwa nemotokari panguva inotangira paminiti yemakumi matatu kusvika paminiti yemakumi matanhatu...
A. 10 km
B. 15 km
Nzvimbo yeC. 20 km
D. 30 km
E. 40 km
Kukurukurirana
Zvinozivikanwa kuti:
Kumhanya (v) = 40 km/awa
Nguva (t) = 60 - 30 = maminetsi 30 = maawa 0,5
Akabvunzwa: Kufamba daro
Mhinduro:
Kubva paminiti yemakumi matatu kusvika paminiti yemakumi matanhatu, motakufamba kwakafanana kwemutsetse.
Kureba = kumhanya x nguva
Kureba = (40 km/awa)(maawa 0,5)
Kureba = makiromita mazana maviri
Mhinduro chaiyo ndiC.

5. Girafu (vt) inoratidza kufamba kwemotokari kubva payakagara, yozofamba kusvika yamira kwemasekonzi masere sezvakaratidzwa mumufananidzo.
Nhambwe inofambiswa nemota iri pakati pe t = 5 s kusvika t = 8 s ndeye…..
A. 60 m
B. 50 m
C. 35 m
D. 20 m
E. 15 m
Kukurukurirana
Chinobvunzwa mubvunzo uyu idaro rakafambwa pakati penguva t = masekondi mashanu kusvika t = masekondi masere.
Nzvimbo yendege 1 = nzvimbo yetriangle CD = ½ (6-5) (40-20) = ½ (1) (20) = 10
Nzvimbo yendege 2 = nzvimbo yetriangle DE = ½ (8-6)(20-0) = ½ (2)(20) = 20
Nzvimbo ye3 = nzvimbo yesikweya = (6-5)(20-0) = (1)(20) = 20

Kureba kwakafambwa pakati penguva t = masekondi mashanu kusvika t = masekondi masere:
10 + 20 + 20 = mamita makumi mashanu
Mhinduro chaiyo ndeiyi B.

6. Kuonekwa kwemadonhwe emafuta pamotokari iri kutyaira mumugwagwa wakatwasuka kunoratidzwa sezviri mumufananidzo.

Zvinoratidza kuti mota iri kufamba ne kukurumidza nguva dzose iri….
A. 1 ne2
B. 1 ne3
C. 1 ne4
D. 2 ne3
Chikamu 2 ne4
Kukurukurirana
(1) Kukurumidza nguva dzose (kumhanya kwakanaka)
(2) Kudzikira kwesimba nguva dzose (kumhanya kwakanyanya)
(3) Kumhanya-mhanya nguva dzose wozomhanya nguva dzose
(4) Kukurumidza nguva dzose wobva waderedza speed nguva dzose
Mhinduro chaiyo ndiA.

7. Girafu inotevera yekumhanya (v) zvichienderana nenguva (t) inopa ruzivo nezvekufamba kwechinhu.
Nhambwe yakafambwa nechinhu ichi mumasekonzi mashanu apfuura ndeye….
A. 100 m
B. 120 m
C. 130 m
D. 140 m
E. 150 m
Kukurukurirana
Chinobvunzwa mubvunzo uyu idaro rakafambwa mumasekonzi mashanu apfuura.
Nzvimbo ye1 = nzvimbo yetriangle = ½ (6-5)(40-20) = ½ (1)(20) = 10
Nzvimbo yendege 2 = nzvimbo yerectangle = (9-5)(20-0) = (4)(20) = 80
Nzvimbo ye3 = nzvimbo yetriangle = ½ (10-9)(20-0) = ½ (1)(20) = 10

Kufamba daro rakafambwa mumasekonzi mashanu apfuura:
10 + 80 + 10 = mamita makumi mashanu
Mhinduro chaiyo ndiA.

8. Girafu ye v – t yemotokari iri kufamba paGLBB inoratidzwa mumufananidzo!

Kukurumidzisa kwakafanana kunoitika mu…
A. A – B na B – C
B. A – B na C – D
C. B – C na C – D
D. C – D na D – E
E. D – E na E – F
Kukurukurirana
Kukurumidza (acceleration) inhamba inokatyamadza (scalar quantity), nepo velocity iri vhector quantity. Kukurumidza (acceleration) kunogara kuripo, nepo kukurumidza (acceleration) kunogona kuva kwakanaka kana kusina kunaka. Kukurumidza (acceleration) kunoratidza kunaka kana velocity ikawedzera (direction of velocity = direction of acceleration), uye kukurumidza (acceleration) kunoratidza kuipa kana velocity ikadzikira (direction of velocity inopesana nedirection of acceleration).
Imwe yemafomula eGLBB:
v_t =v_o + pa —-> v_t - v_o = pa —-> a = v_t - v_o /t
Shandisa fomura iyi kuverenga kukurumidza. Sezvo tiri kuverenga kukurumidza, kwete kukurumidza, furatira chiratidzo chekuramba.
Kumhanya kweAB = (25 - 20) / (20 - 0) = 5 / 20 = 1/4 = 0,25 m/s²
Kumhanya kweBC = (45 – 25) / (40 – 20) = 20 / 20 = 1 m/s²
CD yekumhanya = (35 - 45) / (50 - 40) = 10 / 10 = 1 m/s²
Kumhanya DE = (25 - 35) / (70 - 50) = 10 / 20 = 1/2 = 0,5 m/s²
Kumhanya EF = (0 – 25) / (90 – 70) = 25 / 20 = 5/4 = 1,25 m/s²
Mhinduro chaiyo ndiC.

9. Kumhanya (v) kwechinhu chinofamba mumutsara wakatwasuka uchipesana nenguva (t) kwakaratidzwa mugirafu yev-t. Nhambwe yakafambwa nechinhu ichi mumasekondi gumi ndeye…
A. 5 m
B. 24 m
C. 80 m
D. 250 m
E. 500 m
Kukurukurirana
Zvinozivikanwa (data rakavakirwa pagirafu):
Kumhanya kwekutanga (v)_o= = 0
Kumhanya kwekupedzisira (v)_t) = 20 m/s
Nguva yepakati (t) = masekondi maviri
Akabvunzwa:
Kufamba daro mumasekondi gumi?
Mhinduro:
Mafomula matatu ekufamba kwemutsara kwakakurumidza kumhanyisa (GLBB):
v_t =v_o + pa
s = v_o t + ½ pa²
v_t² =v_o² + maekisero maviri
Tsananguro yefomura: v_t = kumhanya kwekupedzisira, v_o = kumhanya kwekutanga, a = kumhanyisa, t = nguva yawafamba, s = daro rawafamba
Verenga kukurumidza (a):
v_t =v_o + pa
20 = 0 + a (4)
20 = 4 a
a = 20 / 4
a = 5 m/s²
Verenga daro rakafambwa mumasekonzi gumi:
s = v_o t + ½ pa²
s = (0)(10) + ½ (5)(10)²
s = ½ (5)(100)
s = (5)(50)
s = mamita zana
Mhinduro chaiyo ndiD.

10. Kana chinhu chikakandwa mudenga kubva pamusoro penyika, girafu yehukuru hwekumhanya kunoitika nechinhu chacho ndeiyi...
Kukurukurirana
Kana chinhu chikakandwa mudenga kubva pamusoro peNyika, kukurumidza kunoitika nechinhu chacho ndiko kukurumidza kwesimba renyika. Kukurumidza kwesimba renyika ndiko kukosha kunogara kuripo kwe9,8 m/s2.² uye divi rekumhanya kwepasi rinokwevera zvinhu pasi rinogara riri pakati penyika.
Kumhanya-mhanya nguva dzose kunoratidzwa nemutsetse wakatwasuka wakaenzana ne t-axis uye wakatarisana ne a-axis.
Mhinduro chaiyo ndiD.

11. Chinhu chinofamba nekumhanya sezvakaratidzwa pagirafu iri pazasi. Nhambwe inofambiswa nechinhu ichi mumasekonzi makumi maviri ndeye….

1. 600 M
2. 500 M
3. 200 M
4. 100 M

Kukurukurirana
Kufamba kwedaro pakati pemasekondi 0 - 10 = nzvimbo yesikweya + nzvimbo yetriangle
Nzvimbo yesikweya = (20-0)(10-0) = (20)(10) = 200 metres
Nzvimbo yetriangle = (1/2)(10-0)(40-20) = (1/2)(10)(20) = (5)(20) = 100 metres
Kufamba kwedaro remasekonzi 0 - 10 = mamita 200 + mamita 100 = mamita 300
 
Kufamba daro mumasekondi gumi kusvika makumi maviri = nzvimbo yetriangle
Nzvimbo yetriangle = (1/2)(20-10)(40-0) = (1/2)(10)(40) = (5)(40) = 200 metres

Kureba kwakafambwa nechinhu mukati memasekonzi 0 - 20:
Mamita gumi nemashanu + mamita makumi matatu = mamita makumi mana nemashanu

Mhinduro chaiyo ndeiyi B.

12. Kufamba kwezvinhu zvitatu, chimwe nechimwe chinoratidzwa negirafu iri pazasi.
Chirevo chakarurama chekufamba kwezvinhu zvitatu ndeche….
Kukurukurirana
Girafu yechinhu 1 = Girafu yekukurumidzisa (a) uye nguva (t)
Zvichibva pagirafu, chinhu chiri kufamba nekukurumidzisa nguva dzose kana chinhu chiri kufamba nekukurumidzisa nguva dzose. kufamba mumutsara wakatwasuka nekumhanya nguva dzoseKumhanya-mhanya nguva dzose kunoratidzwa nemutsetse wakatwasuka unobatana nechikamu chekumhanya-mhanya (a).

Girafu yechinhu 2 = Girafu yekumhanya (v) nenguva (a)
Zvichibva pagirafu, chinhu chiri kufamba nekumhanya kusingachinji kana kuti chinhu chiri kufamba mumutsara wakatwasuka nekumhanya kusingachinji. Kumhanya kusingachinji kunoratidzwa nemutsetse wakatwasuka unopindirana ne velocity axis (v).

Girafu yechinhu 3 = Girafu yekutama (x) nenguva (a)
Zvichibva pagirafu, zvinoita sekunge kufamba kwechinhu chacho kunoramba kuripo. Izvi zvinoreva kuti chinhu chacho hachisi kufamba kana kuti chakazorora. Chinhu chisina kumira chinoratidzwa nemutsetse wakatwasuka unoyambuka axis yekutama (x).

Mhinduro chaiyo ndiA.

13. Nzvimbo yechinhu chiri kufamba nepakati pe x-axis inoratidzwa negirafu rinotevera.
Girafu inoratidza kuti chinhu chinofamba nekumhanya kusingachinji munguva iri pakati….

1. Masekondi 5 kusvika ku15 uye masekondi 25 kusvika ku35
2. Masekondi 0 kusvika ku5 uye masekondi 35 kusvika ku40
3. Masekondi gumi nemashanu kusvika makumi maviri nemashanu
4. Masekondi 0 kusvika ku5, masekondi 15 kusvika ku25 uye masekondi 35 kusvika ku40

Kukurukurirana
Masekondi mashanu kusvika gumi nemashanu nemasekonzi makumi maviri nemashanu kusvika makumi matatu nemashanu = daro riri pakati pezvinhu rinoramba riripo kana kuti chinhu chacho chichiripo
Masekondi 0 kusvika ku5, masekondi 15 kusvika ku25 uye masekondi 35 kusvika ku40 = daro rechinhu rinogara richichinja nguva nenguva panguva imwe chete kana chinhu chichifamba nekumhanya kwakafanana.
Mhinduro chaiyo ndiD.

Kwakabva mubvunzo:

Mibvunzo yeNational Examination Physics yeChikoro Chesekondari/Chikoro Chepamusoro Chebasa

Mibvunzo yeFizikisi yeChikoro cheVadzidzi veChikoro cheSekondari