Te whakamāramatanga o te nekehanga rārangi kore-taurite
Ko te nekehanga rārangi kore-taurite he nekehanga i te whakaterenga pumau. Arā, ko te nekehanga rārangi kore-taurite = he pumau te nekehanga me te whakanui ake i te whakaterenga, ā, he pumau te ahunga whakaterenga. He pumau te ahunga whakaterenga = he pumau te ahunga tere = he pumau te ahunga nekehanga = he pumau te ahunga nekehanga = ka neke te mea i te rārangi tika. Ko te rahi o te whakaterenga pumau ko te piki haere o te tere, te tere rānei i ia wā.
Tauira tuatahi:
I te tīmatanga, ka noho okioki te mea. Kotahi hēkona i muri mai, ka neke te mea i te tere o te 2 m/s. E rua hēkona i muri mai, ka neke te mea i te tere o te 4 m/s. E toru hēkona i muri mai, ka neke te mea i te tere o te 6 m/s. E whā hēkona i muri mai, ka neke te mea i te tere o te 8 m/s. Ā, pērā tonu...
Ia 1 hēkona, ka piki ake te tere o te mea mā te 2 m/s. Ka pāngia te mea e te whakaterenga pumau o te 2 m/s ia 1 hēkona, 2 m/s ia hekona rānei, 2 m/s 2 rānei.
Ko te tauira tuarua:
Ka neke tuatahi tētahi mea i te tere o te 10 m/s. Kotahi hēkona i muri mai.
Ka whakaitihia te tere ki te 9 m/s. I muri i ngā hēkona e rua, ka heke te tere ki te 8 m/s. I muri i ngā hēkona e toru, ka whakaitihia te tere ki te 7 m/s. I muri i ngā hēkona e whā, ka whakaitihia te tere ki te 6 m/s. Pērā tonu … I ia hēkona 1, ka heke te tere o te mea mā te 1 m/s. He pumau te whakahekenga o te mea mā te 1 m/s ia hēkona, 1 m/s ia hēkona rānei, 1 m/s 2 rānei.
Whārite o te nekehanga rārangi kore-taurite
E toru ngā tātai whārite e whakamahia ana i te nuinga o te wā:
vt = v o + i
d = v o t + 1⁄2 i te 2
v t 2 = v o 2 + 2 ad
v o = tere tīmatanga (mita/hēkona), v t = tere whakamutunga (mita/hēkona), a = whakaterenga (mita/hēkona tapawhā), t = wā i waenganui (hēkona), d = tawhiti (mita).
Tauira raruraru 1:
Ka okioki te matūriki i te tīmatanga, kātahi ka pāngia e te whakaterenga pumau o te 2 m/s 2 mō te 10 hēkona. Tātaihia te tere whakamutunga o te matūriki.
Rongoā:
Kāore he whārite:
Ko te whakaterenga (a) = 2 m/s 2 te tikanga ka piki ake te tere (v) mā te 2 m/s ia 1 hēkona. I muri i te 2 hēkona, ko v = 4 m/s. I muri i te 10 hēkona, ko v = 20 m/s.
Mā te whakamahi i te whārite:
E mōhiotia ana: v o = 0 m/s (te matūriki e okioki ana), a = 2 m/s 2 , t = 10 s
E hiahiatia ana: v t
v t = v o + at = 0 + (2)(10) = 20 m/s
Tauira raruraru 2:
E neke ana tētahi waka i runga i te ara tika i te tere o te 60 km/h. Nā te mea he arai kei reira, ka pēhi te taraiwa, nō reira ka 10 m/s2 te whakahekenga o te tere o te waka. E hia te tawhiti e haere tonu ai te waka kia mutu rā anō i muri i te pēhitanga?
Mōhiotia:
v o = 60 km/h = 60(1000 m)/3600 s = 17 m/s
v t = 0 m/s (tū te motuka)
2a = – 10 m/s
E hiahiatia ana: tawhiti (d)
Rongoā:
v t 2 = v o 2 + 2 ad
(0) 2 = (17) 2 + 2(-10) d
0 = 289 – 20 rā
289 = 20 rā
d = 289 : 20 = 14.45 mita
Tauira raruraru 3:
Ko te kauwhata i raro nei he kauwhata nekehanga rārangi kore-taurite, ko v te tohu tere, ā, ko t te tohu wā. Ko te rahi o te whakaterenga o ngā mea i runga i te kauwhata ko …
Tauira raruraru 4:
Mā te nekehanga o tētahi motuka ka puta he tūtohi o te tere (v) me te wā (t) e whakaaturia ana i te pikitia kei te taha. Mena ko te horahanga i raro i te kauwhata (horahanga kua atarangihia) he 48 m, ko te whakaterenga o te motuka ko …
Te horahanga atarangi = te tawhiti katoa = 48 mita
v o = 8 m/s, v t = 16 m/s, t = 1 m/s
vt = v o + i
16 = 8 + a (1)
ā = 16 – 8
a = 8 m/s 2
or
Ngā pātai ariā me ngā whakautu mō te nekehanga rārangi kore-taurite
- He aha te nekehanga rārangi kore-taurite?
Ko te nekehanga rārangi kore-taurite e pā ana ki te nekehanga o tētahi mea i runga i tētahi rārangi tika me te tere, te tere rānei e rerekē haere ana.
- Me pēhea te whakaatu i te nekehanga rārangi kore-taurite ki tētahi kauwhata tawhiti-wā?
Ko te nekehanga rārangi kore-taurite e whakaaturia ana e tētahi rārangi piko i runga i te kauwhata tawhiti-wā.
- He aha te mahi a te whakateretere i roto i te nekehanga rārangi kore-taurite?
He mea nui te whakaterenga i roto i te nekehanga rārangi kore-taurite. Koinei te tere o te panoni o te tere i roto i te wā.
- Me pēhea te tautuhi i te nekehanga rārangi kore-taurite i runga i te kauwhata tere-wā?
Ko te nekehanga rārangi kore-taurite e tohuhia ana e tētahi rārangi kore-whakapae (e piki haere ana, e heke ana rānei) i runga i tētahi kauwhata tere-wā, e tohu ana ka rerekē te tere i roto i te wā.
- He aha te waeine whakaterenga i roto i te Pūnaha Waeine o te Ao (SI)?
Ko te waeine whakaterenga i roto i te pūnaha SI ko ngā mita ia hekona tapawhā (m/s²).
- He aha te tātai mō te nekehanga i roto i te nekehanga rārangi kore-taurite, i runga i te tere tīmatanga, te whakaterenga, me te wā?
Ko te tātai ko s = ut + ½at², ko s te nekehanga, ko u te tere tīmatanga, ko a te whakaterenga, ā, ko t te wā.
- Ka taea te kī he kino te nekehanga o ngā 's' i roto i te nekehanga rārangi kore-taurite?
Āe, ka taea e ngā nekehanga 's' te kino i roto i te nekehanga raina kore-taurite. Mā tēnei ka tohu te nekehanga i te ahunga ke atu i te ahunga pai kua whiriwhiria.
- Ka taea e tētahi mea e neke ana i roto i tētahi nekehanga rārangi kāore i te ōrite te tū?
Ae, ka taea e tētahi mea e neke ana i roto i tētahi nekehanga rārangi kāore i te ōrite te tū mena ka mahi tōna whakaterenga i te ahunga rerekē o te nekehanga, ā, ka tino whakaiti i te tere o te mea ki te kore.
- He aha te tātai mō te tere whakamutunga i roto i te nekehanga rārangi kore-taurite, i runga i te tere tīmatanga, te whakaterenga, me te wā?
Ko te tātai ko v = u + at, ko v te tere whakamutunga, ko u te tere tīmatanga, ko a te whakaterenga, ā, ko t te wā.
- He pēhea te pānga o te ariā o te jerk ki te nekehanga rārangi kore-taurite?
Ko te wiriwiri te tere o te huringa o te whakaterenga. I roto i te nekehanga raina kore-taurite, ki te kore te whakaterenga e pumau, ā, e rerekē ana i roto i te wā, kei reira te wiriwiri.
