Sawirada dhaqdhaqaaqa toosan - dhibaatooyinka iyo xalalka
1. Masaafada jaantuska (toosan) iyo waqtiga (joogto ah) sida ku cad sawirka hoose. Shay nasasho ah oo lagu muujiyay tiro…
Xalka:
Lambarka 3, oo lagu muujiyay xariiq toosan.
2. Xawaaraha jaantuska (toosan) iyo muddada u dhaxaysa (horizontal) ee dhaqdhaqaaqa a dardargelin joogto ahWaa maxay baaxadda dardargelinta sida ku cad jaantuska?
Xalka:
3. Qof ayaa gaari ku safray magaalada A una socda magaalada B, iyadoo lagu sawiray garaaf hoose. Xariiqda toosan sida xawaaraha iyo xariiqda toosan sida waqtiga u dhaxaysa. Waa maxay masaafada uu gaarigu ku safray 30 daqiiqo ilaa 60 daqiiqo.
La yaqaan:
Xawaaraha (v) = 40 km/saacaddii
Muddada u dhaxaysa (t) = 60 – 30 = 30 daqiiqo = 0.5 saacadood
La Raadinayo: Masaafada
Xalka:
Masaafada = xawaaraha x waqtiga u dhexeeya
Masaafada = (40 km/saacaddii) (0.5 saacadood)
Masaafada = 20 km
4. Xawaaraha garaafka (xariiqda toosan) iyo muddada u dhaxaysa (xariiqda toosan) wuxuu wargeliyaa dhaqdhaqaaqa gaariga ka yimid nasasho ka dibna wuu dhaqaaqaa ilaa jooji 8 ilbiriqsi, sida ka muuqata sawirka hoose.
Waa maxay masaafada uu gaarigu maro laga bilaabo 5 ilbiriqsi ilaa 8 ilbiriqsi?
Xalka:
Bedka 1 = bedka CD-ga saddexagalka ah = ½ (6-5)(40-20) = ½ (1)(20) = 10
Aagga 2 = bedka saddexagalka DE = ½ (8-6) (20-0) = ½ (2) (20) = 20
Bedka 3 = Bedka labajibbaaran = (6-5)(20-0) = (1)(20) = 20
Masaafada uu gaarigu ku safray 5 ilbiriqsi ilaa 8 ilbiriqsi = 10 + 20 + 20 = 50 mitir.
5. Masaafada 5-tii ilbiriqsi ee ugu dambeysay sida ku cad garaafka hoose waa ….
Xalka:
Bedka 1 = bedka saddexagalka = ½ (6-5)(40-20) = ½ (1)(20) = 10
Bedka 2 = bedka leydi = (9-5)(20-0) = (4)(20) = 80
Bedka 3 = bedka saddexagalka = ½ (10-9)(20-0) = ½ (1)(20) = 10
Masaafada 5-tii ilbiriqsi ee ugu dambeysays:
10 + 80 + 10 = 100 mitir
6. Xawaaraha garaafka iyo muddada u dhaxaysa dhaqdhaqaaqa toosan ee aan isku midka ahayn ee gaadhiga.
Xawaareyntaas oo kale waxay ka dhacdaa…
Xalka:
v t = v o + at
vt - vo = ku
a = vt - vo /t
a = dardargelinta, vt = xawaaraha kama dambaysta ah, vo = xawaaraha bilowga ah, t = waqtiga u dhexeeya.
Dardargelinta AB = (25 – 20) / (20 – 0) = 5 / 20 = 1/4 = 0.25 m/s2
Dardargelinta BC = (45 – 25) / (40 – 20) = 20/20 = 1 m/s2
CD-ga Dardargelinta = (35 – 45) / (50 – 40) = 10 / 10 = 1 m/s2
Dardargelinta DE = (25 – 35) / (70 – 50) = 10 / 20 = 1/2 = 0.5 m/s2
Dardargelinta EF = (0 – 25) / (90 – 70) = 25/20 = 5/4 = 1.25 m/s2
7. Waa maxay masaafada la safray 10 ilbiriqsi gudahood?
La yaqaan:
Xawaaraha bilowga ah (v)o= 0
Xawaaraha kama dambaysta ah (v t ) = 20 m/s
Muddada (t) = 4 ilbiriqsi
La doonayo:
Masaafada lagu safray 10 ilbiriqsi gudahood
Xalka:
Saddex isle'eg oo dhaqdhaqaaqa ah oo ku socda xawaare joogto ah:
v t = v o + at
d = v o t + ½ marka la gaaro 2
v t 2 = v o 2 + 2 xayeysiis
vt = xawaaraha kama dambaysta ah, vo = xawaaraha bilowga ah, a = dardargelinta, t = waqtiga u dhexeeya, d = masaafada
Dardargelinta (a):
v t = v o + at
20 = 0 + a (4)
20 = 4 a
a = 20/4
a = 5 m/s 2
Masaafada lagu safray 10 ilbiriqsi gudahood:
d = v o t + ½ marka la gaaro 2
d = (0)(10) + ½ (5)(10)2
d = ½ (5)(100)
d = (5)(50)
d = 250 mitir
8. Haddii shay si toosan loo tuuro kor uga sarreeya dusha sare ee dhulka, markaas waa garaafka dardargelinta uu walaxdu la kulmay.
Solution
Marka shay si toosan kor ugu dhaqaaqo, dardargelinta uu shay la kulmo waa dardargelinta cufisjiidadka awgeed. dardargelinta cuf-isjiidadka awgeed waa 9.8 m/s2 jihada dardargelinta cufisjiidadka awgeedna waxay ku taal bartamaha Dhulka.
Dardargelinta joogtada ah waxaa lagu gartaa xariiq toosan oo barbar socota dhidibka t iyo mid toosan oo u janjeerta dhidibka a.
Jawaabta saxda ah waa D.
9. Iyada oo ku saleysan garaafka hoose, go'aami masaafada uu walaxdu ku safray 20 ilbiriqsi.
A. 600 mitir
B. 500 mitir
C. 200 mitir
D. 100 mitir
Solution
Masaafada la safray 0 - 10 ilbiriqsi = bedka labajibbaaran + bedka saddexagalka
Bedka labajibbaaran = (20-0)(10-0) = (20)(10) = 200 mitir
Bedka saddexagalka = (1/2)(10-0)(40-20) = (1/2)(10)(20) = (5)(20) = 100 mitir
Masaafada la safray 0 – 10 ilbiriqsi = 200 mitir + 100 mitir = 300 mitir
Masaafada la safray 10 - 20 ilbiriqsi = bedka saddexagalka
Bedka saddexagalka = (1/2)(20-10)(40-0) = (1/2)(10)(40) = (5)(40) = 200 mitir
Masaafada la safray 0 - 20 ilbiriqsi:
300 mitir + 200 mitir = 500 mitir
Jawaabta saxda ah waa B.
10. Dhaqdhaqaaqa saddex shay, mid walbana waxaa lagu sawiray garaafka hoose.
Go'aami weedha saxda ah ee dhaqdhaqaaqa saddexda shay.
Xalka:
Garaafka shayga 1 = Garaafka dardargelinta (a) iyo muddada u dhaxaysa (t)
Iyada oo ku saleysan garaafka, shaygu wuxuu ku socdaa dardargelin joogto ah. waxaa lagu muujiyay xariiq toosan oo ku toosan dhidibka dardargelinta (a).
Garaafka shayga 2 = Garaafka xawaaraha (v) iyo muddada u dhaxaysa (a)
Iyada oo ku saleysan garaafka, shaygu wuxuu ku socdaa xawaare joogto ah. Xawaaraha joogtada ah ee lagu tilmaamay xariiq toosan oo ku toosan dhidibka xawaaraha (v).
Garaafka shayga 3 = Garaafka barokaca (x) iyo waqtiga (a)
Iyada oo ku saleysan garaafka, joogtada barokaca ama shayga nasashada.
Jawaabta saxda ah waa A.
11. Jagada shay ku socda dhidibka x waxaa lagu muujiyay garaafka soo socda.
Garaafku wuxuu muujinayaa in shaygu uu ku socdo xawaare joogto ah inta u dhaxaysa waqtiga u dhexeeya….
A. 5-15 ilbiriqsi iyo 25-35 ilbiriqsi
B. 0-5 ilbiriqsi iyo 35-40 ilbiriqsi
C. 15-25 ilbiriqsi
D. 0-5 ilbiriqsi, 15-25 ilbiriqsi iyo 35-40 ilbiriqsi
Xalka:
5-15 ilbiriqsi iyo 25-35 ilbiriqsi = Kala-guurka shayga had iyo jeer waa joogto ama shayga nasashada.
0-5 ilbiriqsi, 15-25 ilbiriqsi iyo 35-40 ilbiriqsi = walaxdu waxay ku socotaa xawaare joogto ah.
Jawaabta saxda ah waa D.
12. Jaantuska soo socda wuxuu muujinayaa xawaaraha shaqada waqtiga ee laba shay oo si toos ah uga dhaqaaqaya isla booska bilowga. Kadib markaad dhaqaaqdo ilbiriqsiyo t, labada shayba waxay leeyihiin isbeddel boos oo isku mid ah. Go'aami muddada u dhaxaysa iyo barakac shayga.
A. 5 ilbiriqsi iyo 50 mitir
B. 5 ilbiriqsi iyo 100 mitir
C. 10 ilbiriqsi iyo 50 mitir
D. 10 ilbiriqsi iyo 100 mitir
Xalka:
Garaafka 1 = dardargelin joogto ah
Muddada u dhaxaysa = 10 ilbiriqsi
Masaafada = bedka saddexagalka = ½ (v)(t) = ½ (10-0)(20-0) = ½ (10)(20) = (5)(20) = 100 mitir
Garaafka 2 = xawaare joogto ah
Muddada u dhaxaysa = 10 ilbiriqsi
Masaafada = bedka labajibbaaran = (v)(t) = (10-0)(10-0) = (10)(10) = 100 mitir
Jawaabta saxda ah waa D.
13Iyada oo ku saleysan garaafka hoose, muddada u dhaxaysa marka shaygu uu ku socdo xawaare joogto ah iyo muddada u dhaxaysa marka shaygu uu la kulmayo dardargelinta ugu weyn waa ….
A. Inta u dhaxaysa 0 iyo t1, iyo inta u dhaxaysa t1 iyo t2
B. Inta u dhaxaysa t1 iyo t2, iyo inta u dhaxaysa t2 iyo t3
C. Inta u dhaxaysa t2 iyo t3, iyo inta u dhaxaysa t1 iyo t2
D. Inta u dhaxaysa 0 iyo t1, iyo inta u dhaxaysa t2 iyo t3
Xalka:
Haddii garaafku yahay xariiq toosan, xawaaruhu waa joogto, haddii garaafku yahay xariiq toosan, dardargelintu waa joogto. Khadku wuu janjeedhsanayaa, dardargelintu way sii weynaanaysaa.
0 – t1 = dardargelin joogto ah
t1 - t2 = xawaare joogto ah
t2 - t3 = dardargelin joogto ah
Jawaabta saxda ah waa B.
1. Su'aal: Maxay matalaan jaranjarada booska iyo jaantuska waqtiga? Jawaab: Jaranjarada booska iyo jaantuska waqtiga waxay muujinaysaa xawaaraha shayga. Jaranjarada qotoda dheer waxay muujinaysaa xawaare sare, halka xariiq siman (joogto ah) ay tilmaamayso in shaygu nasanayo.
2. Su'aal: Garaafka xawaaraha iyo waqtiga, sidee baad u go'aamisaa booska uu shay ka baxayo? Jawaab: Baraha shay waxaa lagu ogaan karaa iyadoo la xisaabinayo aagga ka hooseeya qalooca (ama inta u dhaxaysa qalooca iyo dhidibka x) iyadoo la adeegsanayo jaantuska xawaaraha iyo waqtiga.
3. Su'aal: Sidee u kala saari kartaa dhaqdhaqaaqa isku midka ah iyo kan aan isku midka ahayn ee booska iyo jaantuska waqtiga? Jawaab: Garaafka booska iyo waqtiga, dhaqdhaqaaqa isku midka ah waxaa lagu matalaa xariiq toosan (jiidid joogto ah), halka dhaqdhaqaaqa aan isku midka ahayn lagu matalo xariiq qaloocan, taasoo muujinaysa in xawaaruhu uu isbeddelayo waqti ka dib.
4. Su'aal: Maxay tilmaamaysaa xariiq toosan oo ku taal xawaaraha iyo jaantuska waqtiga? Jawaab: Xariiqda toosan ee xawaaraha iyo jaantuska waqtiga waxay muujinaysaa in shaygu uu ku socdo xawaare joogto ah, tusaale ahaan, ma aha mid xawaareynaya ama hoos u dhigaya.
5. Su'aal: Haddii xawaaraha iyo jaantuska waqtiga uu ka hooseeyo dhidibka waqtiga (xawaaraha taban), maxay tilmaamaysaa? Jawaab: Haddii jaantuska xawaaraha iyo waqtiga uu ka hooseeyo dhidibka waqtiga, waxay tilmaamaysaa in shaygu uu u socdo jihada ka soo horjeeda jihada tixraaca (badanaa loo qaato mid togan).
6. Su'aal: Sidee loogu matalaa dardargelinta jaantuska xawaaraha iyo waqtiga? Jawaab: Garaafka xawaaraha iyo waqtiga, dardargelinta waxaa lagu matalaa jihada garaafka. Jaranjarada togan waxay muujinaysaa dardargelin togan, janjeedhka taban wuxuu tilmaamayaa dardargelin taban (ama hoos u dhac), xariiqda simanna waxay muujinaysaa inaysan jirin dardargelin.
7. Su'aal: Maxay tilmaamaysaa qalooca parabolic ee booska iyo jaantuska waqtiga? Jawaab: Qallooc parabolic ah oo ku yaal booska iyo jaantuska waqtiga ayaa tilmaamaya in shaygu uu ku jiro xawaare joogto ah. Qaabka qalooca waa afargeesle, oo la jaan qaadaya isla'egta kinematic. .
8. Su'aal: Garaafka booska iyo waqtiga, sidee baad ku ogaan kartaa in shay uu hore u socdo ama dib u socdo marka loo eego bartii uu ka bilaabay? Jawaab: Haddii qalooca ama xariiqdu ay ku taal boos marka loo eego jaantuska waqtiga oo kor u kacaya (kor u socda), waxay tilmaamaysaa in shaygu uu hore u socdo (ama jihada togan). Haddii qalooca ama xariiqdu ay hoos u dhacayso (hoos u socoto), waxay muujinaysaa in shaygu uu dib u socdo (ama jihada taban) marka loo eego booskiisa bilowga ah.
9. Su'aal: Sidee bay shayga si xor ah u dhacayaa ugu eg yahay jaantuska xawaaraha iyo waqtiga? Jawaab: Shayga iska dhacaya (iska indha tiraya iska caabbinta hawada), jaantuska xawaaraha iyo waqtiga wuxuu noqon doonaa xariiq toosan oo leh jiho togan (haddii laga bilaabayo nasasho) sababtoo ah dardargelinta joogtada ah ee ay sabab u tahay cufisjiidadka. Jiidashadu waxay matalaysaa qiimaha dardargelinta, kaas oo Dhulka ku yaal qiyaastii waa qiyaastii. .
10. Su'aal: Haddii shay uu nasto, sidee bay u ekaan doontaa dardargelintiisa iyo jaantuska waqtiga? Jawaab: Shayga nasashada, xawaaraha iyo jaantuska waqtiga waxay noqon doonaan xariiq toosan oo ku taal dhidibka waqtiga, taasoo muujinaysa in dardargelintu ay eber tahay inta lagu jiro muddada.
