Imidwebo yokunyakaza okuqondile - izinkinga nezixazululo

1. Ibanga legrafu (eliqondile) uma liqhathaniswa nesikhathi (eliqondile) njengoba kuboniswe esithombeni esingezansi. Into ephumulile eboniswe ngenombolo…

Isixazululo:

Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 1

Inombolo 3, ekhonjiswa ngomugqa oqondile.

2. Ijubane legrafu (eliqondile) vs isikhawu sesikhathi (esivundlile) sokunyakaza ku-a ukusheshisa okuqhubekayo. Ungakanani ubukhulu bokusheshisa ngokwegrafu?

Isixazululo:

Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 3

3. Othile uhambe ngemoto esuka edolobheni A eya edolobheni B, okuboniswe kugrafu engezansi. Umugqa oqondile njengesivinini kanye nomugqa ovundlile njengesikhawu sesikhathi. Liyini ibanga elihanjwe ngemoto phakathi kwemizuzu engama-30 kuya kwengama-60.

Kwaziwa: Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 4

Ijubane (v) = 40 km/h

Isikhawu sesikhathi (t) = 60 – 30 = imizuzu engama-30 = amahora angu-0.5

Okufunwayo: Ibanga

Isixazululo:

Ibanga = isivinini x isikhawu sesikhathi

Ibanga = (40 km/ihora)(0.5 ihora)

Ibanga = 20 km

4. Ijubane legrafu (umugqa oqondile) uma kuqhathaniswa nesikhathi esiphakathi (umugqa ovundlile) yazisa ukunyakaza kwemoto evela ukuphumula bese kuhamba kuze yeka imizuzwana engu-8, njengoba kuboniswe esithombeni esingezansi.

Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 5

Lingakanani ibanga elihanjwa ngemoto kusukela kumasekhondi angu-5 kuya kumasekhondi angu-8?

Isixazululo:

Indawo 1 = indawo kanxantathu i-CD = ½ (6-5)(40-20) = ½ (1)(20) = 10

Indawo 2 = indawo kanxantathu DE = ½ (8-6) (20-0) = ½ (2) (20) = 20

Indawo 3 = Indawo yesikwele = (6-5)(20-0) = (1)(20) = 20

Ibanga elihanjwe ngemoto lisuka kumasekhondi angu-5 kuya kumasekhondi angu-8 = 10 + 20 + 20 = amamitha angu-50.

5. Ibanga lemizuzwana emihlanu yokugcina ngokusho kwegrafu engezansi kuyinto ....

Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 6

Isixazululo:

Indawo 1 = indawo kanxantathu = ½ (6-5)(40-20) = ½ (1)(20) = 10

Indawo 2 = indawo yesikwele = (9-5)(20-0) = (4)(20) = 80

Indawo 3 = indawo kanxantathu = ½ (10-9)(20-0) = ½ (1)(20) = 10

Ibanga lemizuzwana emihlanu yokugcinas:

10 + 80 + 10 = amamitha ayi-100

6. Ijubane legrafu vs isikhawu sesikhathi sokunyakaza okuqondile kwemoto okungalingani.

Ukusheshisa okufanayo kwenzeka ku… Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 7

Isixazululo:

v _t = vo _o + at

v_t- v_o = ku-

a = v_t- v_o /t

a = ukusheshisa, v_t= ijubane lokugcina, v_o = ijubane lokuqala, t = isikhawu sesikhathi.

Ukusheshisa AB = (25 – 20) / (20 – 0) = 5/20 = 1/4 = 0.25 m/s²

Ukusheshisa BC = (45 – 25) / (40 – 20) = 20/20 = 1 m/s²

I-CD yokusheshisa = (35 – 45) / (50 – 40) = 10 / 10 = 1 m/s²

Ukusheshisa DE = (25 – 35) / (70 – 50) = 10/20 = 1/2 = 0.5 m/s²

Ukusheshisa i-EF = (0 – 25) / (90 – 70) = 25/20 = 5/4 = 1.25 m/s²

7. Liyini ibanga elihanjiwe ngemizuzwana eyi-10

Kwaziwa:

Ijubane lokuqala (v)_o= = 0 Ihluzo zokunyakaza okuqondile - izinkinga nezixazululo 8

Ijubane lokugcina (v _t ) = 20 m/s

Isikhawu sesikhathi (t) = imizuzwana eyi-4

Kufunwa:

Ibanga elihanjiwe ngemizuzwana eyi-10

Bhekafuthi Simple machine (Inclined plane Lever) - Problems and Solutions

Isixazululo:

Izibalo ezintathu zokunyakaza ngokusheshisa okuqhubekayo:

v _t = vo _o + at

d = vot ₊ ½ ku- ²

v _t² = v _o² + 2 isikhangiso

v_t = ijubane lokugcina, v_o = ijubane lokuqala, a = ukusheshisa, t = isikhawu sesikhathi, d = ibanga

Ukusheshisa (a):

v _t = vo _o + at

20 = 0 + a (4)

20 = 4 a

a = 20/4

a = 5 m/s ²

Ibanga elihanjiwe ngemizuzwana eyi-10:

d = vot ₊ ½ ku- ²

d = (0)(10) + ½ (5)(10)²

d = ½ (5)(100)

d = (5)(50)

d = amamitha angu-250

8. Uma into iphonswa phezulu phezulu ngaphezu komhlaba, khona-ke igrafu yokusheshisa etholwa yinto.

Igrafu yezinkinga zokunyakaza okuqondile kanye nezixazululo 1

Isixazululo

Uma into inyuka iqonde phezulu, ukusheshisa okubonwa yinto kusheshisa ngenxa yamandla adonsela phansi. Ubukhulu bokusheshisa ukusheshisa ngenxa yamandla adonsela phansi ingu-9.8 m/s² futhi isiqondiso sokusheshisa ngenxa yamandla adonsela phansi siya enkabeni yoMhlaba.

Ukusheshisa okuqhubekayo kubonakala ngomugqa oqondile ohambisana ne-t axis kanye ne-perpendicular ne-a axis.

Impendulo efanele ngu-D.

9. Ngokusekelwe kugrafu engezansi, nquma ibanga elihanjwe yinto imizuzwana engama-20.

A. 600 m Igrafu yezinkinga zokunyakaza okuqondile kanye nezixazululo 2

B. 500 m

C. 200 m

D. 100 m

Isixazululo

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 ayi-100

Ibanga elihanjiwe phakathi kwemizuzwana engu-0 - 10 = amamitha angu-200 + amamitha angu-100 = amamitha angu-300

Ibanga elihanjiwe phakathi kwemizuzwana eyi-10 - 20 = indawo yonxantathu

Indawo kanxantathu = (1/2)(20-10)(40-0) = (1/2)(10)(40) = (5)(40) = amamitha ayi-200

Ibanga elihanjiwe phakathi kwemizuzwana engu-0 - 20:

Amamitha angu-300 + amamitha angu-200 = amamitha angu-500

Impendulo efanele ngu-B.

10. Ukunyakaza kwezinto ezintathu, ngayinye iboniswe yigrafu engezansi.

Igrafu yezinkinga zokunyakaza okuqondile kanye nezixazululo 3

Nquma isitatimende esifanele sokunyakaza kwazo zonke izinto ezintathu.

Igrafu yezinkinga zokunyakaza okuqondile kanye nezixazululo 4

Isixazululo:

Igrafu yento 1 = Igrafu yokusheshisa (a) kanye nesikhawu sesikhathi (t)

Ngokusekelwe kugrafu, into ihamba ngokusheshisa okungaguquki. Ukusheshisa okungaguquki okukhonjiswa umugqa oqondile oqonde ngqo ku-axis yokusheshisa (a).

Igrafu yento 2 = Igrafu yejubane (v) kanye nesikhawu sesikhathi (a)

Ngokusekelwe kugrafu, into ihamba ngesivinini esingaguquki. Isivinini esingaguquki esiboniswa umugqa oqondile oqonde ngqo ku-axis yesivinini (v).

Igrafu yento 3 = Igrafu yokufuduka (x) nesikhathi (a)

Ngokusekelwe kugrafu, i-displacement constant noma into ephumule.

Impendulo eyiyo ngu-A.

11. Indawo yento ehamba nge-x-axis iboniswa yigrafu elandelayo.

Igrafu yezinkinga zokunyakaza okuqondile kanye nezixazululo 5

Igrafu ikhombisa ukuthi into ihamba ngesivinini esingaguquki phakathi kwesikhawu sesikhathi….

Bhekafuthi Ukuhlukaniswa ngomqhewu owodwa - izinkinga nezixazululo

A. Imizuzwana emi-5-15 kanye nemizuzwana engama-25-35

B. imizuzwana engu-0-5 kanye nemizuzwana engu-35-40

C. imizuzwana eyi-15-25

D. Imizuzwana engu-0-5, imizuzwana engu-15-25 kanye nemizuzwana engu-35-40

Isixazululo:

Imizuzwana emi-5-15 kanye nemizuzwana engama-25-35 = Ukufuduka kwento kuhlala kungaguquki noma into iphumule.

Imizuzwana engu-0-5, imizuzwana engu-15-25 kanye nemizuzwana engu-35-40 = into ihamba ngesivinini esingaguquki.

Impendulo efanele ngu-D.

12. Igrafu elandelayo ikhombisa isivinini somsebenzi wesikhathi sezinto ezimbili ezihamba ziqonde zisuka endaweni efanayo yokuqala. Ngemva kokuhamba imizuzwana engu-t zombili izinto zinoshintsho lwesikhundla esifanayo. Nquma isikhawu sesikhathi kanye Ukuhambisa lento.

A. Imizuzwana emi-5 namamitha angama-50 Igrafu yezinkinga zokunyakaza okuqondile kanye nezixazululo 6

B. imizuzwana emi-5 namamitha ayi-100

C. imizuzwana eyi-10 namamitha angama-50

D. imizuzwana eyi-10 namamitha ayi-100

Isixazululo:

Igrafu 1 = ukusheshisa okuqhubekayo

Isikhawu sesikhathi = imizuzwana eyi-10

Ibanga = indawo kanxantathu = ½ (v)(t) = ½ (10-0)(20-0) = ½ (10)(20) = (5)(20) = amamitha ayi-100

Igrafu 2 = ijubane elingaguquki

Isikhawu sesikhathi = imizuzwana eyi-10

Ibanga = indawo yesikwele = (v)(t) = (10-0)(10-0) = (10)(10) = amamitha ayi-100

Impendulo efanele ngu-D.

13Ngokusekelwe kugrafu engezansi, isikhathi lapho into ihamba ngokusheshisa okungaguquki kanye nesikhathi lapho into ibhekana nokusheshisa okukhulu kakhulu yilesi ….

A. Phakathi kuka-0 no-t₁, naphakathi kuka-t₁ futhi t₂

B. Phakathi kuka-t₁ futhi t₂, naphakathi kuka-t₂ futhi t₃

C. Phakathi kuka-t₂ futhi t₃, naphakathi kuka-t₁ futhi t₂

D. Phakathi kuka-0 no-t₁, naphakathi kuka-t₂ futhi t₃

Isixazululo:

Uma igrafu ingumugqa oqondile khona-ke ijubane lihlala linjalo, uma igrafu iyi-slash khona-ke ukusheshisa kuhlala kunjalo. Umugqa uyathambekela, ukusheshisa kuyanda.

0 – t₁= ukusheshisa okuqhubekayo

t₁ - t₂ = ijubane elingaguquki

t₂ - t₃ = ukusheshisa okuqhubekayo

Impendulo efanele ngu-B.

1. Umbuzo: Kumelelani ukuthambekela kwegrafu yesikhundla vs. isikhathi? Impendulo: Ukwehla kwegrafu yesikhundla uma kuqhathaniswa nesikhathi kumelela ijubane lento. Ukwehla okuphakeme kubonisa ijubane eliphezulu, kanti umugqa oyisicaba (ovundlile) ubonisa ukuthi into iphumule.

2. Umbuzo: Kugrafu yejubane vs. isikhathi, unquma kanjani ukufuduka kwento? Impendulo: Ukufuduka kwento kungatholakala ngokubala indawo engaphansi kwejika (noma phakathi kwejika kanye ne-x-axis) kugrafu yejubane vs. isikhathi.

3. Umbuzo: Ungahlukanisa kanjani phakathi kokunyakaza okufanayo nokungalingani kugrafu yesikhundla uma kuqhathaniswa nesikhathi? Impendulo: Kugrafu yesikhundla uma kuqhathaniswa nesikhathi, ukunyakaza okufanayo kumelelwa umugqa oqondile (ukuthambekela okuqhubekayo), kanti ukunyakaza okungafani kuboniswa umugqa ogobile, okubonisa ukuthi ijubane liyashintsha ngokuhamba kwesikhathi.

Bhekafuthi Nquma umphumela wamavektha amabili usebenzisa izingxenye zevektha

4. Umbuzo: Ubonisani umugqa ovundlile kugrafu yejubane vs. isikhathi? Impendulo: Umugqa ovundlile kugrafu yejubane vs. isikhathi ubonisa ukuthi into ihamba ngejubane elingaguquki, okungukuthi, ayisheshi noma ayisheshi.

5. Umbuzo: Uma igrafu yejubane vs. isikhathi ingaphansi kwe-axis yesikhathi (ijubane elibi), isho ukuthini? Impendulo: Uma igrafu yejubane vs. isikhathi ingaphansi kwe-axis yesikhathi, ikhombisa ukuthi into ihamba ngakolunye uhlangothi lwesiqondiso sokubhekisela (ngokuvamile ithathwa njengelungile).

6. Umbuzo: Ukusheshisa kumelelwe kanjani kugrafu yejubane vs. isikhathi? Impendulo: Kugrafu yejubane vs. isikhathi, ukusheshisa kumelelwa ukuthambeka kwegrafu. Ukuthambeka okuhle kubonisa ukusheshisa okuhle, ukuthambeka okubi kubonisa ukusheshisa okubi (noma ukwehla kwejubane), kanti umugqa oyisicaba ubonisa ukungasheshi.

7. Umbuzo: Isho ukuthini ijika eliyipharaboliki kugrafu yesikhundla vs. isikhathi? Impendulo: Ijika eliyipharaboli kugrafu yesikhundla vs. isikhathi lisikisela ukuthi into ishesha njalo. Ukuma kwejika kungama-quadratic, kuhambisana ne-kinematic equation $s =v o t + 1/2 a t^{2}$ .

8. Umbuzo: Kugrafu yesikhundla uma kuqhathaniswa nesikhathi, unganquma kanjani ukuthi into iya phambili noma iya emuva uma kuqhathaniswa nendawo eqale kuyo? Impendulo: Uma ijika noma umugqa usesikhundleni uma kuqhathaniswa negrafu yesikhathi ikhuphuka (iya phezulu), ikhombisa ukuthi into iya phambili (noma isendleleni eya phambili). Uma ijika noma umugqa wehla (uyehla), ikhombisa ukuthi into iya emuva (noma isendleleni eya phansi) uma kuqhathaniswa nendawo yayo yokuqala.

9. Umbuzo: Into ewa ngokukhululeka ibukeka kanjani kugrafu yejubane vs. isikhathi? Impendulo: Entweni ewa ngokukhululekile (ukunganaki ukumelana nomoya), igrafu yejubane vs. isikhathi ingaba umugqa oqondile onomugqa omuhle (uma uqala ekuphumuleni) ngenxa yokusheshisa okuqhubekayo ngenxa yamandla adonsela phansi. Umugqa umelela inani lokusheshisa, elicishe libe yi-100% eMhlabeni. $9.8 m / s^{2}$ .

10. Umbuzo: Uma into iphumulile, igrafu yayo yokusheshisa uma iqhathaniswa nesikhathi izobukeka kanjani? Impendulo: Entweni ephumulile, igrafu yayo yokusheshisa vs. igrafu yesikhathi ingaba umugqa ovundlile ku-axis yesikhathi, okubonisa ukuthi ukusheshisa kungu-zero phakathi nesikhathi.