He tauira pātai hei whakatau i ngā wāhanga tere tīmatanga o te nekehanga parabolic

4 Ngā tauira pātai hei whakatau i ngā wāhanga tere tīmatanga o te nekehanga parabolic

1. Ka whanahia te pōro i te koki 60^o ki te mata o te mara. Mena ko te tere tīmatanga (v_o) 10 m/s, tautuhia ngā wāhanga poutū me ngā wāhanga whakapae tere pōro wawe!
Kōrero
E mōhiotia ana:
Koki (θ) = 60^o
Te tere tīmatanga (v_o) = 10 m/s
I pātaihia: v_ox me te v_oy
Whakautu:

hara θ = v_oy /v_o —–> v_oy = v_o hara θ
cos θ = v_ox /v_o —–> v_ox = v_o cos θ

Te wāhanga whakapae o te tere tīmatanga o te pōro:
v_ox = v_o cos θ = (10 m/s)(cos 60^o) = (10 m/s)(0,5) = 5 m/s

Ko te wāhanga poutū o te tere tīmatanga o te pōro:
v_oy = v_o sin θ = (10 m/s)(sin 60^o) = (10 m/s)(0,5√3) = 5√3 m/s

2. Ka whiua ki runga tētahi mea i te koki o te 30°^o ki te whakapae. Mena ko te wāhanga poutū o te tere o te mea (v_oy) he 10 m/s, tātaihia te tere tīmatanga o te mea (v_o)!
Kōrero
E mōhiotia ana:
Koki (θ) = 30^o
Ko te wāhanga poutū o te tere tīmatanga (v_oy) = 10 m/s
I pātaihia: Te tere tīmatanga o te mea (v_o)
Whakautu:
Te tātai mō te wāhanga poutū o te tere tīmatanga:
v_oy = v_o hara θ
10 = (w_o)(hara 30^o)
10 = (w_o)(0,5)
v_o = 10/0,5
v_o = 20m/s
Ko te tere tīmatanga o te mea he 20 m/s.

3. Ko te wāhanga whakapae o te tere o te matā he 30 m/s, ā, ko te wāhanga poutū o te tere o te matā he 40 m/s. He aha te tere tīmatanga o te matā?
Kōrero
E mōhiotia ana:
Ko te wāhanga whakapae o te tere o te matā (v_ox) = 30 m/s
Ko te wāhanga poutū o te tere o te matā (v_oy) = 40 m/s
I pātaihia: Te tere tīmatanga o te matā (v_o)
Whakautu:
Ka tatauhia te tere tīmatanga o te matā mā te whakamahi i te tātai Pythagorean:
v_o² = v_ox² +v_oy² = 30² + 40² = 900 + 1600 = 2500
v_o = √2500
v_o = 50m/s
Ko te tere tīmatanga o te matā he 50 m/s.

4. Ka whiua whakararatia tētahi māpere ki te taha matau mai i tētahi whare maha-papa. Mēnā ko te tere tīmatanga o te māpere he 6 m/s, he aha te tere tīmatanga o te māpere i ngā ahunga whakarara me ngā ahunga poutū?
Kōrero
E mōhiotia ana:
Te tere tīmatanga o te māpere (v_o) = 6 m/s
I pātaihia: Ko te tere tīmatanga o te māpere i te ahunga whakapae (v_ox) me te poutū (v_oy)
Whakautu:
He rite te ara o te māpere ki te pikitia.
I te tīmatanga ka neke te māpere i te taha whakapae kia rite te tere tīmatanga o te māpere i te taha whakapae (v) ki te_ox) = te tere tīmatanga o te māpere (v_o) = 6 m/h.
I taua wā anō, ko te tere tīmatanga o te māpere i te ahunga poutū he kore.

[Reo Pākehā: Te whakaoti rapanga nekehanga pere – Te whakaoti i te tere tīmatanga ki ngā wāhanga whakapae me te poutū ]