Whakatauhia te tere whakamutunga o te nekehanga pere

1. Ka wehe atu te whutupōro i te whenua i te koki θ = 30^o ki te whakapae me te tere tīmatanga o te 14 m/s. Tātaihia te tere whakamutunga i mua i te pānga o te pōro ki te whenua.

Mōhiotia:

Koki (θ) = 30^o

Te tere tīmatanga (v_o) = 14 m/s

Te whakaterenga o te kaha ā-papa (g) = 10 m / s²

E hiahiatia ana: Te tere whakamutunga i mua i te pa o te pōro ki te whenua

Rongoā:

Wāhanga whakapae o te tere tīmatanga:

v_ox = v_o cos θ = (14 m/s)(cos 30^o) = (14 m/s)(0.5√3) = 7√3 m / s

Wāhanga poutū o te tere tīmatanga:

v_oy = v_o sin θ = (14 m/s)(sin 30^o) = (14 m/s)(0.5) = 7 m/s

Te tere whakamutunga i te ahunga poutū

Kōwhiria te ahunga whakarunga hei pai, me te ahunga whakararo hei kino.

Mōhiotia:

Te tere tīmatanga (v_o) = 7 m/s (pai ki runga)

Te whakaterenga o te kaha ā-papa (g) = –10 m / s² (kino ki raro)

Teitei (h) = 0 (hoki te mea ki tōna tūranga tīmatanga)

E hiahiatia ana: Te tere whakamutunga (v_t)

Rongoā:

v_t² = v_o² + 2 gh = 7² + 2(-10)(0) = 49 – 0 = 49

v_t = √49 = 7 m/s

Te tere whakamutunga i te ahunga whakapae

Ko te tere tīmatanga i te ahunga whakapae ko 7√3 m/s. He pumau te tere, nō reira he rite te tere whakamutunga ki te tere tīmatanga.

Te tere whakamutunga i mua i te pānga o te mea ki te whenua

2. Ka whakatakotoria te tinana ki runga i te koki o te 30^o me te whakapae mai i tētahi whare e 5 mita te teitei. Ko tōna tere tīmatanga he 10 m/s. Tātaihia te tere whakamutunga i mua i te pānga o te mea ki te whenua! Ko te whakaterenga o te kaha ā-papatipu he 10 m/s².

Mōhiotia:

Koki (θ) = 30^o

Teitei tīmatanga (h_o) = 5 mita

Te tere tīmatanga (v_o) = 10 m/s

Te whakaterenga o te kaha ā-papa (g) = 10 m/s²

E hiahiatia ana: Te tere whakamutunga

Rongoā:

Wāhanga whakapae o te tere tīmatanga:

v_ox = v_o cos θ = (10 m/s)(cos 30^o) = (10 m/s)(0.5√3) = 5√3 m / s

Wāhanga poutū o te tere tīmatanga:

v_oy = v_o sin θ = (10 m/s)(sin 30^o) = (10 m/s)(0.5) = 5 m/s

Te tere whakamutunga i te ahunga poutū

Mōhiotia:

Te tere tīmatanga (v_o) = 5 m/s (pai ki runga)

whakaterenga o te kaha ā-papa (g) = –10 m / s² (kino ki raro)

Teitei (h) = -5 m ((kāore i te pai nā te mea kei raro iho te whenua i te teitei tīmatanga)

E hiahiatia ana: Te tere whakamutunga (v_t)

Rongoā:

v_t² = v_o² + 2 gh = 5² + 2(-10)(-5) = 25 + 100 = 125

v_t = √125 m/s

Te tere whakamutunga i te ahunga whakapae

Ko te tere whakamutunga i te ahunga whakapae ko 5√3 m/h

Te tere whakamutunga

3. He pōro iti e tū ana i runga i te whakapae me te tere tīmatanga v_o = 8 m/s mai i tētahi whare 12 mita te teitei. Tātaihia te tere whakamutunga i mua i te pānga o te pōro ki te whenuaKo te tere o te kaha ā-papa he 10 m/s²

Mōhiotia:

Teitei (h) = 12 mita

Te tere tīmatanga (v_o) = 8 m/s

Te whakaterenga o te kaha ā-papa (g) = 10 m/s²

E hiahiatia ana: Te tere whakamutunga (v_t)

Rongoā:

Wāhanga whakapae o te tere tīmatanga:

v_ox = v_o = 8m/s

Wāhanga poutū o te tere tīmatanga:

v_oy = 0m/s

Te tere whakamutunga i te ahunga poutū

i tatauhia mā te whakamahi i te whārite o nekehanga hinga noa.

Mōhiotia:

Te whakaterenga o te kaha ā-papa (g) = 10 m / s²

Teitei (h) = 12 m

E hiahiatia ana: Te tere whakamutunga (v_t)

Rongoā:

v_t² = 2 gh = 2(10)(12) = 240

v_t = √240 m/s

Te tere whakamutunga i te ahunga whakapae

Ko te tere tīmatanga i te ahunga whakapae he 8 m/s. He pumau te tere kia ōrite te tere tīmatanga ki te tere whakamutunga. Nō reira, ko te tere whakamutunga i te ahunga whakapae he 8 m/s.

Te tere whakamutunga

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1. Whakatauhia te tere tīmatanga ki ngā wāhanga whakapae me ngā wāhanga poutū
2. Whakatauhia te nekehanga whakapae
3. Whakatauhia te teitei mōrahi
4. Whakatauhia te wā
5. Whakatauhia te tūranga o te mea
6. Whakatauhia te tere whakamutunga