Ngā rapanga kua whakatauhia i roto i te nekehanga pere – te whakatau i te wā
1. Ka wehe atu tētahi whutupōro i te whenua i te koki θ = 30 o ki te whakapae me te tere tīmatanga o te 10 m/s. Tātaihia te wā i waenganui i a ia me te eke ki te teitei mōrahi! Ko te whakaterenga o te kaha ā-papatipu he 10 m/ s2.
Mōhiotia:
Koki (θ) = 3 0 o
Te tere tīmatanga (v o ) = 10 m/s
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: Te wā hei whakatutuki i te teitei mōrahi
Rongoā:
Wāhanga poutū o te tere tīmatanga:
v oy = v o hara θ = (10 m/s)(hara 30 o ) = (10 m/s)(0.5) = 5 m/s
Ka whakatauhia te wā hei eke ki te teitei mōrahi e te whārite nekehanga poutū . Kōwhiria te ahunga ki runga hei pai, me te ahunga ki raro hei kino.
Mōhiotia:
Te tere tīmatanga (v o ) = 5 m/s (pai ake ki runga)
Te whakaterenga o te kaha ā-papa (g) = – 10 m/s 2 (kino ki raro)
Te tere whakamutunga i te teitei mōrahi (vt ) = 0
E hiahiatia ana: te wā (t)
Rongoā:
vt = v o + g t
0 = 5 + (-10)t
0 = 5 – 10 t
5 = 10 tāra
t = 5/10 = 0.5 hēkona
2. E peia ana tētahi tinana ki runga i te koki o te 30 o ki te whakapae me te tere tīmatanga o te 30 m/s. Tātaihia te wā rere! Ko te whakaterenga o te kaha ā-papatipu he 10 m/ s2.
Mōhiotia:
Koki (θ) = 3 0 o
Te tere tīmatanga (v o ) = 8 m/s
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: Te wā i mua i te pānga o te tinana ki te whenua
Rongoā:
Wāhanga poutū o te tere tīmatanga:
v oy = v o hara θ = (8 m/s)(hara 30 o ) = (8 m/s)(0.5) = 4 m/s
Tuatahi ka tatauhia e mātou te wā hei whakatutuki i te teitei mōrahi mā te whakamahi i te whārite o te nekehanga poutū.
Kōwhiria te ahunga whakarunga hei pai, me te ahunga whakararo hei kino.
Mōhiotia:
Te tere tīmatanga (v o ) = 4 m/s (pai ake ki runga)
Te whakaterenga o te kaha ā-papa (g) = – 10 m/s 2 (kino ki raro)
Te tere whakamutunga i te teitei mōrahi (vt ) = 0
E hiahiatia ana: Te wā (t)
Rongoā:
vt = v o + g t
0 = 4 + (-10)t
0 = 4 – 10 t
4 = 10 tāra
t = 4/10 = 0,4 hēkona
Ko te wā i tawhiti atu ai i te teitei mōrahi ko 0.4 hēkona.
Ko te wā i te hau ko 2 x 0.4 s = 0.8 s.
3. E whakarewaina ana tētahi tinana ki runga i te koki o te 30 ° me te taha whakapae mai i tētahi whare e 10 mita te teitei. Ko tōna tere tīmatanga he 40 m/s. Kia pēhea te roa o te taenga o te tinana ki te whenua? Ko te tere o te kaha ā-papatipu he 10 m/ s².
Mōhiotia:
Koki (θ) = 3 0 o
Teitei tīmatanga (h o ) = 10 mita
Te tere tīmatanga (v o ) = 40 m/s
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: Te wā i te rangi (t)
Rongoā:
Wāhanga poutū o te tere tīmatanga:
v oy = v o hara θ = (40 m/s)(hara 30 o ) = (40 m/s)(0.5) = 20 m/s
Tuatahi ka tatauhia e mātou te wā hei whakatutuki i te teitei mōrahi mā te whakamahi i te whārite o te nekehanga poutū.
Kōwhiria te ahunga whakarunga hei pai, me te ahunga whakararo hei kino.
Mōhiotia:
Te tere tīmatanga (v o ) = 20 m/s (pai ake ki runga)
Te whakaterenga o te kaha ā-papa (g) = – 10 m/s 2 (kino ki raro)
Te tere whakamutunga i te tihi (vt ) = 0
E hiahiatia ana: Te wā (t)
Rongoā:
vt = v o + g t
0 = 20 + (-10)t
0 = 20 – 10 t
20 = 10 tāra
t = 20/10 = 2 hēkona
Te wā i te rangi = 2 x 2 hēkona = 4 hēkona.
E 10 mita te teitei o te mea i runga ake i te whenua. E 4 hēkona te wā hei tae atu ki tētahi wāhi e whakarara ana ki te tūranga tīmatanga. Kei te neke tonu te pōro ki raro.
Ka tatauhia te wā e tae ai ki te whenua mā te whakamahi i te whārite o te nekehanga hinga noa.
Mōhiotia:
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
Teitei (h) = 10 mita
E hiahiatia ana: Te wā (t)
Rongoā:
h = 1/2 gt 2
10 = 1/2 (10) t 2
10 = 5 t 2
t 2 = 10/5 = 2
t = √2 = 1.4 hēkona
Wā wā = 1.4 hēkona.
Tapeke wā = 4 hēkona + 1.4 hēkona = 5.4 hēkona.
4. Ka tukuna whakapaetia tētahi pōro iti me te tere tīmatanga v o = 15 m/s mai i tētahi whare e 5 mita te teitei. Tātaihia te wā i te rangi ! Ko te whakaterenga o te kaha ā-papa he 10 m/s 2
Mōhiotia:
Teitei (h) = 5 mita
Te tere tīmatanga (v o ) = 15 m/s
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: Te wā i te rangi (t)
Rongoā:
Ka tatauhia te wā i te rangi mā te whakamahi i te whārite o te nekehanga e hinga noa ana.
Mōhiotia:
Teitei (h) = 5 mita
Te whakaterenga o te kaha ā-papa (g) = 10 m/s 2
E hiahiatia ana: Te wā (t)
Rongoā:
h = 1/2 gt 2
5 = 1/2 (10) t 2
5 = 5 t 2
t 2 = 5/5 = 1
t = √1 = 1 hēkona
[wpdm_package id='531′]
[wpdm_package id='536′]
- Whakatauhia te tere tīmatanga ki ngā wāhanga whakapae me ngā wāhanga poutū
- Whakatauhia te nekehanga whakapae
- Whakatauhia te teitei mōrahi
- Whakatauhia te wā
- Whakatauhia te tūnga o ngā mea
- Whakatauhia te tere whakamutunga
