Tauira o te nekehanga poutū ki raro

3 Ngā tauira o ngā pātai nekehanga poutū ki raro

1. Ka whiua poutūtia te pōro ki raro mai i tētahi whare maha-papa me te tere tīmatanga o te 10 m/s, ā, ka tae ki te whenua i muri i te 2 hēkona. He aha te tere o te pōro ina pā ki te whenua? g = 10 m/s²
Kōrero
E mōhiotia ana:
v_o = 10m/s
t = 2 hēkona
karamu = 10 m/s²
I pātaihia:
Te tere whakamutunga (v_t)?
Whakautu:
Kāore he tātai
Ka tīmata te pōro ki te neke i te tere o te 10 m/s, ā, i a ia e neke ana ka pāngia te pōro e te whakaterenga ā-papatipu o te 10 m/s.²Ko te tikanga o tēnei ka piki ake te tere o te pōro mā te 10 m/s ia hekona. I muri i te 3 hēkona, ko te tere o te pōro he 30 m/s.
Te tere whakamutunga o te pōro = te tere tīmatanga + te pikinga o te tere = 10 m/s + 30 m/s = 40 m/s.
Te whakamahi i te tātai
Tātai GLBB :
v_t = v_o + i
h = v_o t + ½ i²
v_t² = v_o² + 2 ā
I te nekehanga poutū ki raro, he tere tīmatanga tō te mea (v_o). Kua whakatikatikaina te tātai GLBB i runga ake nei ki te ariā o te nekehanga poutū ki raro, ā, kua hurihia ki te tātai nekehanga poutū ki raro e whai ake nei.
Tātai Nekehanga Poutū ki raro :

E mōhiotia ana ko v_o, g me t, i pātaihia a v_t, nō reira whakamahia te tātai tuatahi.

2. Ka whiua he kōhatu ki roto i tētahi puna me te tere tīmatanga o te 5 m/s, ā, ka pā ki te mata o te wai o te puna i muri i te 2 hēkona. E hia te hohonu o te puna?
Kōrero
E mōhiotia ana:
v_o = 5m/s
t = 2 hēkona
karamu = 10 m/s²
I pātaihia:
Te hohonutanga o te poka (h)?
Whakautu:
E mōhiotia ana ko v_o, t me g, i tonoa a h, nō reira whakamahia te tātai tuarua.

3. Mai i tētahi whare e 80 mita te teitei, ka whiua poutūtia tētahi mōkihi ki raro i te tere o te 10 m/s. Whakatauhia (a) te wā e tae ai te mōkihi ki te whenua (b) Te tere o te mōkihi ina pā ki te whenua
Kōrero
E mōhiotia ana:
h = 80 mita
v_o = 10m/s
karamu = 10 m/s²
I pātaihia:
(a) Te wā (t)?
(b) Te tere whakamutunga (v_t)?
Whakautu:
(a) Te wā (t)?
I hoatu h, v_o ā, ko g, i te mea ko t, nō reira whakamahia te tātai tuatoru hei whakatau i te tere whakamutunga (v_t), kātahi ka whakamahia te tātai tuatahi hei whakatau i te wā (t).

Tuhipoka:
Mai i te mea e mōhiotia ana ko h, v_o me g, i pātaihia ko t, nō reira ka taea e tātou te whakamahi tika i te tātai tuarua hei whakatau i te wā (t). Ko te otinga whakamutunga hei whakatau i a t e whakamahi ana i te tātai ABC

(b) Te tere whakamutunga (v_t)?
v_t = 41m/s

[Reo Pākehā: Te nekehanga ki raro i te hinganga kore utu – ngā raruraru me ngā otinga ]