Te Tātai Nekehanga Parabolic i roto i te Ahupūngao
Ko te nekehanga parabolic he momo nekehanga e kitea pinepine ana i roto i te oranga o ia rā, ā, he whānuitia ngā whakamahinga i roto i ngā momo mara pērā i te hākinakina, te hangarau, me te pūtaiao. Ko te nekehanga parabolic he nekehanga rua-ahu e puta ana ina whiua he mea ki te rangi i tētahi koki motuhake ki te whakapae. Ka matapakihia e tēnei tuhinga te nekehanga parabolic me te taipitopito, tae atu ki tōna whakamāramatanga, ngā tātai e pā ana, me ngā tauira o te ao tūturu.
Te Whakamāramatanga o te Nekehanga Parabolic
He nekehanga ā-ahu rua te nekehanga parabolic ka taea te wehewehe kia rua ngā wāhanga: te nekehanga whakapae me te tere pumau me te nekehanga poutū me te whakaterenga pumau nā te kaha ā-papa. He rite te āhua o te ara nekehanga parabolic ki te kōpiko parabolic, ā, nā tēnei āhuatanga i motuhake ai ki ētahi atu momo nekehanga.
Ngā Wāhanga Nekehanga Parabolic
Ka taea te wehewehe i te nekehanga parabolic kia rua ngā nekehanga poutū: te nekehanga whakapae (tuaka-x) me te nekehanga poutū (tuaka-y).
1. Nekehanga Whakapae
– I te tuaka-x, ka kiia te nekehanga o te mea he nekehanga rārangi ōrite (GLB) me te tere pumau nā te mea kāore he whakaterenga e mahi ana (me te kore e aro ki te ātete hau).
– He pumau te tere whakapae (\(v_x\)) ā, ka hangaia penei:
\[
v_x = v_0 \cos \theta
\]
Kei hea:
– Ko te \(v_x\) te wāhanga tere whakapae,
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\).
2. Nekehanga Poutū
– I te tuaka-y, ko te nekehanga o tētahi mea e kiia ana he nekehanga raina tere ōrite (GLBB) me te whakaterenga pumau nā te kaha ā-papa (\(g\)).
– Ka huri te tere poutū (\(v_y\)) i te wā, ā, ka hangaia penei:
\[
v_y = v_0 \sin \theta – gt
\]
Kei hea:
– Ko te \(v_y\) te wāhanga tere poutū,
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\),
– Ko te whakaterenga nā te kaha ā-papatipu (9.8 m/s²),
– Ko te wā te \(t\).
Ngā Whārite Nekehanga Parabolic
Ko ngā tātai e whai ake nei e whakamahia ana hei tātari i te nekehanga parabolic:
1. Tawhiti Whakapae (Awhe)
Ko te tawhiti whakapae mōrahi (\(R\)) ka taea te whakatutuki mā te maka i tētahi mea me te tere tīmatanga \(v_0\) me te koki teitei \(\theta\) ko:
\[
R = \frac{v_0^2 \sin 2\theta}{g}
\]
Kei hea:
– Ko te tawhiti whakapae mōrahi ko \(R\),
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\),
– Ko te whakaterenga nā te kaha ā-papatipu te \(g\).
2. Teitei Mōrahi
Ko te teitei mōrahi (\(h_{\text{max}}\)) e taea ana e tētahi mea ko:
\[
h_{\text{max}} = \frac{v_0^2 \sin^2 \theta}{2g}
\]
Kei hea:
– Ko te teitei mōrahi ko \(h_{\text{max}}\),
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\),
– Ko te whakaterenga nā te kaha ā-papatipu te \(g\).
3. Te Wā Katoa i te Rererangi
Ko te wā katoa (\(t_{\text{total}}\)) e pau ana i te mea i te rangi ko:
\[
t_{\kuputuhi{katoa}} = \frac{2 v_0 \sin \theta}{g}
\]
Kei hea:
– Ko te \(t_{\text{total}}\) te roanga katoa o te wā i te rangi,
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\),
– Ko te whakaterenga nā te kaha ā-papatipu te \(g\).
Tātari Nekehanga Parabolic
Hei tātari taipitopito i te nekehanga o tētahi parabola, ka taea e tātou te wāwāhi i te nekehanga kia rua ngā wāhanga whakapae me te poutū, kātahi ka whakamahi i ngā whārite kua whakahuatia i runga ake nei.
1. Tūnga Whakapae (x)
Ko te tūnga whakapae o tētahi mea i tētahi wā \(t\) ko:
\[
x = v_0 \cos \theta \cdot t
\]
Kei hea:
– Ko te tūnga whakapae ko \(x\),
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\),
– Ko te wā te \(t\).
2. Tūnga Poutū (y)
Ko te tūnga poutū o tētahi mea i tētahi wā \(t\) ko:
\[
y = v_0 \sin \theta \cdot t – \frac{1}{2} gt^2
\]
Kei hea:
– Ko te tūnga poutū ko te \(y\),
– Ko te tere tīmatanga ko \(v_0\),
– Ko te koki teitei tuatahi ko \(\theta\),
– Ko te whakaterenga nā te kaha ā-papatipu te \(g\),
– Ko te wā te \(t\).
Ngā Tauira o ngā Taupānga Nekehanga Parabolic
1. Ngā Hākinakina
I ngā hākinakina pēnei i te whutupaoro, te poitūkohu, te pēihipora rānei, mā te mārama ki te nekehanga parabolic ka āwhina i ngā kaitākaro ki te whakatau i te koki me te kaha o te whiu, te whana rānei kia tutuki ai tētahi whāinga motuhake. Hei tauira, me tatau e te kaitākaro poitūkohu te koki me te tere tika kia uru ai te poi ki roto i te kete.
2. Te Hangarau me te Hangarau
I roto i te hangarau, ka whakamahia te nekehanga parabolic hei hoahoa i ngā ara o ngā pere, pērā i ngā anga pū, i ngā rōkete rānei. Mā te mārama ki te nekehanga parabolic ka taea e ngā kaihangarau te tatau i ngā ara tino pai, me te whakarite kia tae te pere ki tana ūnga me te tino tika.
3. Te Tātaritanga Ao
I roto i te ao whetū, ka whakamahia te nekehanga parabolic hei tātari i ngā ara o ngā mea o te rangi pērā i ngā wheturangi i a rātou e neke ana ki te rā, e neke ana hoki i te rā. Mā te mārama ki te nekehanga parabolic, ka taea e ngā tohunga whetū te matapae i te tūranga me te tere o ēnei mea o te rangi i tētahi wā.
4. Whakangahau
I roto i te umanga whakangahau, inā koa i roto i ngā kiriata pakiwaituhi me ngā kēmu ataata, ka whakamahia te nekehanga parabolic hei whakatauira i te nekehanga o ngā mea tūturu. Hei tauira, i roto i te kēmu ataata, me whai te matā i pupuhihia mai i te pū i te ara parabolic e rite ana ki ngā ture ahupūngao kia puta ai he āhua tūturu.
Whakamutunga
He ariā nui te nekehanga parabolic i roto i te ahupūngao e kapi ana i ngā āhuatanga maha o te nekehanga rua-ahu. Mā te mārama ki ngā tātai me ngā mātāpono taketake o te nekehanga parabolic, ka taea e tātou te tātari me te matapae i ngā ara o ngā mea i roto i ngā āhuatanga maha. He whānuitia ngā tono o te nekehanga parabolic, mai i ngā hākinakina ki te hangarau me te hangarau, ki te whetū me te whakangahau. Mā te māramatanga pakari ki te nekehanga parabolic ka āwhina i a tātou i roto i ngā āhuatanga maha o tō tātou oranga o ia rā, ā, ka whakarato i tētahi turanga pakari mō te ako i ngā ariā ahupūngao uaua ake.
