Ko te nekehanga parabolic, ko te nekehanga pere rānei, he momo nekehanga e hoatu ana ki tētahi mea he tere tīmatanga, kātahi ka pāngia katoatia tōna nekehanga e te kaha o te kaha ā-papa. Ko te nekehanga pere he nekehanga rua-ahu, he huinga o te nekehanga whakapae me te poutū, he rerekē ki te nekehanga tika , te hinga noa rānei , he nekehanga kotahi-ahu.
I whakamārama a Galileo ka taea te mārama ki te nekehanga parabolic mā te whakaaro motuhake ki ngā wāhanga poutū me te whakapae o te nekehanga. Ka mahi te whakaterenga ā-papa i te ahunga poutū anake, ehara i te ahunga whakapae. Nō reira, ko te wāhanga whakapae o te nekehanga pere ka tirohia he nekehanga raina ōrite , ā, ko te wāhanga poutū o te nekehanga parabolic ka tirohia he hinganga kore utu.
Tauira raruraru
1. Ngā Pātai Whakamātautau ā-Motu 2018
Ka taka he poma (g = 10 m/ s² ) ki tētahi waka rererangi e rere whakapae ana i te tere o te 300 m/s i te teitei o te 80 mita . Ka pā te poma ki te ūnga i te tawhiti whakapae o …… mita.
Kōrero
E mōhiotia ana:
Te tere tīmatanga (v o ) = 300 m/s
Teitei (h) = 80 m
Te whakaterenga nā te kaha ā-papa (g) = 10 m/s 2
I pātaihia: Te tawhiti whakapae (x)
Whakautu:
Ko te ara nekehanga parabolic e whakaaturia ana i te pikitia, ka tātarihia te nekehanga i te ahunga poutū pērā i te nekehanga hinga noa , ā, ka tātarihia te nekehanga i te ahunga whakapae pērā i te nekehanga tika ōrite.
Ka tatauhia te tawhiti whakapae mā te whakamahi i te tātai nekehanga rārangi ōrite.
x = vt
Whakaahuatanga: x = tawhiti whakapae, v = tere i te ahunga whakapae, t = wā
I roto i te nekehanga tika ōrite, he pumau te tere o te mea, nō reira ko te tere i te ahunga whakapae = te tere tīmatanga ko te wāhanga i te ahunga whakapae = te tere tīmatanga = 300 m/s.
Ka tatauhia te wā (t) mā te whakamahi i te tātai nekehanga hinga noa , mā te tātari i te nekehanga i te ahunga poutū.
h = ½ gt 2
80 = ½ (10) t 2
80 = 5 t 2
80/5 = t 2
16 = t 2
t = √16
t = 4 hēkona
Tawhiti whakapae:
x = vt = (300)(4) = 1200 mita
2. Ngā Pātai Whakamātautau ā-Motu 2017
He pōro e whiua ana i te koki teitei o te 30 ° e whai ana i tētahi ara parabolic e whakaaturia ana i te pikitia. Ko te whakaterenga nā te kaha ā-papa he 10 m/s -2 , nō reira ko te ōwehenga o ngā tere i ngā pūwāhi A, B, me C ko...
Kōrero
Ko te tere o te pōro kei roto ko te tere ahunga poutū (v y ) me te tere ahunga whakapae (v x ).
Tātaihia te v ox :
v ox = v o cos 30 o = 60 cos 30 = 60 ( 0,5 √3 ) = 30 √3 m/s
v oy = v o hara 30 o = 60 hara 30 = 60 (0,5) = 30 m/s
Tātaihia te tere poutū i ngā pūwāhi A, B me C.
Te tere poutū i te pūwāhi A:
v ty = v oy – gt = 30 – 10(1) = 30 – 10 = 20 m/s
Te tere poutū i te pūwāhi B:
v ty = v oy – gt = 30 – 10(2) = 30 – 20 = 10 m/s
Te tere poutū i te pūwāhi C:
v ty = v oy – gt = 30 – 10(3) = 30 – 30 = 0 m/s
