Isibonelo sombuzo wegrafu yokunyakaza okuqondile

Izibonelo eziyi-13 zemibuzo yegrafu yokunyakaza okuqondile

1. Kusukela kugrafu engenhla, okubonisa into ephumule...
A. (1)
B. (2)
C. (3)
D. (4)
E. (5)
Ingxoxo
Into ephumulile iboniswa umugqa ovundlile oqonde ngqo ku-axis (s) yebanga. Lo mugqa oqondile ubonisa ukuthi ibanga lihlala lingaguquguquki njengoba isikhathi sanda.
Impendulo efanele ngu-C.

2. Ukunyakaza kwento kuboniswa yigrafu yesikhundla (s) uma kuqhathaniswa nesikhathi (t) njengoba kuboniswe esithombeni esingezansi. Ingxenye yegrafu ekhombisa into ephumulile yingxenye...
A. (1)
B. (2)
C. (3)
D. (4)
E. (5)
Ingxoxo
Umugqa womcibisholo ovundlile ngakwesokudla = i-axis yesikhathi (t). Njengoba umugqa uhamba uye kwesokudla, isikhathi siyanda. Umugqa womcibisholo oqonde phezulu oqondile = i-axis yesikhundla (s). Umugqa uyakhuphuka, isikhundla siyanda. Into iphumule, okusho ukuthi isikhundla sento sizinzile, okungukuthi asishintshi.
(1) Igrafu 1 ikhombisa ukuthi indawo yento iyanda ngokuhamba kwesikhathi (into iya phambili).
(2) Igrafu 2 ikhombisa indawo yento ezinzile ngokuhamba kwesikhathi (into imile noma ayinyakazi).
(3) Igrafu 3 ikhombisa ukuthi indawo yento iyanda ngokuhamba kwesikhathi (into iya phambili).
(4) Igrafu 4 ikhombisa indawo yento enciphayo ngokuhamba kwesikhathi (into iyahamba ibuyela emuva).
(5) Igrafu 5 ikhombisa ukuthi indawo yento iyanda ngokuhamba kwesikhathi (into iya phambili).
Impendulo efanele ingu-B.

3. Igrafu engezansi iyigrafu ye-GLBB, lapho u-v emele isivinini kanti u-t emele isikhathi. Ubukhulu bokusheshisa kwento kusuka kugrafu...
A. 50 ms^-2
B. 25 ms^-2
C. 10 ms^-2
D. 5 ms^-2
E. 2,5 ms^-2
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4. Umuntu uhamba ngemoto esuka edolobheni A eya edolobheni B, njengoba kuboniswe kugrafu engezansi, i-Y axis iyisici sejubane kanti i-X axis iyisici sesikhathi, ngakho ibanga elihanjwe yimoto ngesikhathi sokuphumula kusukela kumzuzu wama-30 kuya kumzuzu wama-60...
A. 10 km
B. 15 km
C. 20 km
D. 30 km
E. 40 km
Ingxoxo
Kuyaziwa ukuthi:
Isivinini (v) = 40 km/h
Isikhawu sesikhathi (t) = 60 – 30 = imizuzu engama-30 = amahora angu-0,5
Kubuziwe: Ibanga elihanjiwe
Impendulo:
Kusukela kumzuzu wama-30 kuya kumzuzu wama-60, imotoukunyakaza okuqondile okufanayo.
Ibanga = isivinini x isikhathi
Ibanga = (40 km/h)(amahora angu-0,5)
Ibanga = 20 km
Impendulo efanele ngu-C.

5. Igrafu (vt) ikhombisa ukunyakaza kwemoto isendaweni ephumule, bese ihamba ize ime imizuzwana eyi-8 njengoba kuboniswe esithombeni.
Ibanga elihanjwe yimoto phakathi kuka-t = 5 s kuya ku-t = 8 s…..
A. 60 m
B. 50 m
C. 35 m
D. 20 m
E. 15 m
Ingxoxo
Okubuzwa kulo mbuzo ibanga elihanjiwe phakathi kwesikhathi esiphakathi kuka-t = imizuzwana emi-5 kuya ku-t = imizuzwana eyi-8.
Indawo yendiza 1 = indawo kanxantathu i-CD = ½ (6-5)(40-20) = ½ (1)(20) = 10
Indawo yendiza 2 = indawo kanxantathu DE = ½ (8-6)(20-0) = ½ (2)(20) = 20
Indawo yendiza 3 = indawo yesikwele = (6-5)(20-0) = (1)(20) = 20

Ibanga elihanjiwe phakathi kwesikhathi esiphakathi kuka-t = imizuzwana emi-5 kuya ku-t = imizuzwana engu-8:
10 + 20 + 20 = amamitha angu-50
Impendulo efanele ingu-B.

6. Ukubonwa kwamaconsi kawoyela emotweni eshayela emgwaqweni oqondile kuboniswe njengoba kusesithombeni.

Okubonisa ukuthi imoto ihamba ne ukusheshisa okuqhubekayo kuyinto….
A. 1 no-2
B. 1 no-3
C. 1 no-4
D. 2 no-3
E. 2 kanye no-4
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(1) Ukusheshisa okuqhubekayo (ukusheshisa okuhle)
(2) Ukwehla kwejubane okuqhubekayo (ukusheshisa okungekuhle)
(3) Ukusheshisa okuqhubekayo bese kuba ijubane eliqhubekayo
(4) Ukusheshisa okuqhubekayo bese kuba ukwehla okuqhubekayo
Impendulo efanele ngu-A.

7. Igrafu elandelayo yesivinini (v) ngokumelene nesikhathi (t) inikeza ulwazi mayelana nokunyakaza kwento.
Ibanga elihanjwe yinto emizuzwini emihlanu edlule….
A. 100 m
B. 120 m
C. 130 m
D. 140 m
E. 150 m
Ingxoxo
Okubuzwa kulo mbuzo ibanga elihanjiwe emizuzwini emihlanu edlule.
Indawo yendiza 1 = indawo kanxantathu = ½ (6-5)(40-20) = ½ (1)(20) = 10
Indawo yendiza 2 = indawo yesikwele = (9-5)(20-0) = (4)(20) = 80
Indawo yendiza 3 = indawo kanxantathu = ½ (10-9)(20-0) = ½ (1)(20) = 10

Ibanga elihanjiwe phakathi nemizuzwana emihlanu edlule:
10 + 80 + 10 = amamitha angu-100
Impendulo efanele ngu-A.

8. Igrafu ye-v – t yemoto ehamba e-GLBB iboniswe esithombeni!

Ukusheshisa okufanayo kwenzeka ku…
A. A – B kanye no-B – C
B. A – B kanye no-C – D
C. B – C kanye no-C – D
D. C – D kanye no-D – E
E. D – E kanye no-E – F
Ingxoxo
Ukusheshisa kuyinani eliyi-scalar, kuyilapho ijubane liyinani le-vector. Ukusheshisa kuhlala kukuhle, kuyilapho ukusheshisa kungaba kuhle noma kube kubi. Ukusheshisa kuyinto enhle uma ijubane likhuphuka (isiqondiso sejubane = isiqondiso sokusheshisa), kanti ukusheshisa kuyinto embi uma ijubane lehla (isiqondiso sejubane siphambene nesiqondiso sokusheshisa).
Enye yezindlela ze-GLBB:
v_t =v_o + ku- —-> v_t - v_o = ku —-> a = v_t - v_o /t
Sebenzisa le fomula ukubala ukusheshisa. Njengoba sibala ukusheshisa, hhayi ukusheshisa, shaya indiva uphawu olubi.
Isivinini se-AB = (25 – 20) / (20 – 0) = 5/20 = 1/4 = 0,25 m/s²
Isivinini se-BC = (45 – 25) / (40 – 20) = 20/20 = 1 m/s²
Isivinini se-CD = (35 – 45) / (50 – 40) = 10/10 = 1 m/s²
Isivinini DE = (25 - 35) / (70 - 50) = 10 / 20 = 1/2 = 0,5 m/s²
Isivinini EF = (0 – 25) / (90 – 70) = 25/20 = 5/4 = 1,25 m/s²
Impendulo efanele ngu-C.

9. Ijubane (v) lento ehamba emgqeni oqondile lihambisana nesikhathi (t) njengoba kuboniswe kugrafu ye-v-t. Ibanga elihanjwe yinto ngemizuzwana eyi-10…
A. 5 m
B. 24 m
C. 80 m
D. 250 m
E. 500 m
Ingxoxo
Kuyaziwa (idatha esekelwe kugrafu):
Ijubane lokuqala (v)_o= = 0
Ijubane lokugcina (v)_t) = 20 m/s
Isikhawu sesikhathi (t) = 4 imizuzwana
Kubuziwe:
Ibanga elihanjiwe ngemizuzwana eyi-10?
Impendulo:
Amafomula amathathu okunyakaza okuqondile okusheshisiwe (GLBB):
v_t =v_o + ku-
s = v_o t + ½ ku²
v_t² =v_o² + ama-ekseli ama-2
Incazelo yefomula: v_t = ijubane lokugcina, v_o = ijubane lokuqala, a = ukusheshisa, t = isikhawu sesikhathi, s = ibanga elihanjiwe
Bala ukusheshisa (a):
v_t =v_o + ku-
20 = 0 + a (4)
20 = 4 a
a = 20/4
a = 5 m/s²
Bala ibanga elihanjiwe ngemizuzwana eyi-10:
s = v_o t + ½ ku²
s = (0)(10) + ½ (5)(10)²
s = ½ (5)(100)
s = (5)(50)
s = amamitha angu-250
Impendulo efanele ngu-D.

10. Uma into iphonswa phezulu isuka ebusweni bomhlaba, khona-ke igrafu yobukhulu bokusheshisa okubonwa yinto ithi...
Ingxoxo
Uma into iphonswa phezulu isuka ebusweni boMhlaba, ukusheshisa okubonwa yileyo nto ukusheshisa koMhlaba okudonsela phansi. Ukusheshisa koMhlaba okudonsela phansi kuyinani elingaguquki elingu-9,8 m/s2.² futhi isiqondiso sokusheshisa kwamandla adonsela phansi oMhlaba sihlala sibheke enkabeni yoMhlaba.
Ukusheshisa okuqhubekayo kubonakala ngomugqa oqondile ohambisana ne-t-axis kanye ne-perpendicular ne-a-axis.
Impendulo efanele ngu-D.

11. Into ihamba ngesivinini njengoba kuboniswe kugrafu engezansi. Ibanga elihanjwe yinto ngemizuzwana engama-20….

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

Ingxoxo
Ibanga elihanjiwe phakathi kwemizuzwana engu-0 - 10 = indawo yesikwele + indawo yonxantathu
Indawo yesikwele = (20-0)(10-0) = (20)(10) = amamitha angu-200
Indawo kanxantathu = (1/2)(10-0)(40-20) = (1/2)(10)(20) = (5)(20) = amamitha angu-100
Ibanga elihanjiwe phakathi kwemizuzwana engu-0 - 10 = amamitha angu-200 + amamitha angu-100 = amamitha angu-300
 
Ibanga elihanjiwe ngemizuzwana eyi-10 - 20 = indawo yonxantathu
Indawo kanxantathu = (1/2)(20-10)(40-0) = (1/2)(10)(40) = (5)(40) = amamitha angu-200

Ibanga elihanjwe yinto ngemizuzwana engu-0 - 20:
Amamitha angu-300 + amamitha angu-200 = amamitha angu-500

Impendulo efanele ingu-B.

12. Ukunyakaza kwezinto ezintathu, ngayinye eboniswe ngegrafu engezansi.
Isitatimende esifanele sokunyakaza kwezinto ezintathu sithi….
Ingxoxo
Igrafu yezinto 1 = Igrafu yokusheshisa (a) kanye nesikhathi (t)
Ngokusekelwe kugrafu, into ihamba ngokusheshisa okuqhubekayo noma into ihamba ngokusheshisa okuqhubekayo. ukuhamba ngendlela eqondile ngokusheshisa okuqhubekayoUkusheshisa okuqhubekayo kuboniswa umugqa oqondile ohlangana ne-axis yokusheshisa (a).

Igrafu yezinto 2 = Igrafu yesivinini (v) nesikhathi (a)
Ngokusekelwe kugrafu, into ihamba ngesivinini esingaguquki noma into ihamba emgqeni oqondile ngesivinini esingaguquki. Isivinini esingaguquki sikhonjiswa umugqa oqondile ohlangana ne-axis yejubane (v).

Igrafu yezinto 3 = Igrafu yokufuduka (x) nesikhathi (a)
Ngokusekelwe kugrafu, kubonakala sengathi ukufuduka kwento kuhlala kungaguquki. Lokhu kusho ukuthi into ayihambi noma iphumule. Into engaguquki iboniswa umugqa oqondile ohlangana ne-axis yokufuduka (x).

Impendulo efanele ngu-A.

13. Indawo yento ehamba nge-x-axis iboniswa yigrafu elandelayo.
Igrafu ikhombisa ukuthi into ihamba ngesivinini esingaguquki phakathi kwesikhathi….

1. Imizuzwana engu-5 kuya kwemi-15 kanye nemizuzwana engu-25 kuya kwengu-35
2. Imizuzwana engu-0 kuya kwemi-5 kanye nemizuzwana engu-35 kuya kwengu-40
3. Imizuzwana eyi-15 kuya kwengama-25
4. Imizuzwana engu-0 kuya kwemi-5, imizuzwana engu-15 kuya kwengu-25 kanye nemizuzwana engu-35 kuya kwengu-40

Ingxoxo
Imizuzwana emi-5 kuya kweyi-15 kanye nemizuzwana engama-25 kuya kwengama-35 = ibanga phakathi kwezinto lihlala lingaguquki noma into imile
Imizuzwana engu-0 kuya kwemi-5, imizuzwana engu-15 kuya kwengu-25 kanye nemizuzwana engu-35 kuya kwengu-40 = ibanga lento lihlala lishintsha njalo ngesikhathi esifanayo noma into ihamba ngesivinini esingaguquki.
Impendulo efanele ngu-D.

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