Whakatauhia te tere tīmatanga ki ngā wāhanga whakapae me ngā wāhanga poutū o te nekehanga pere

Ngā raruraru i whakatauhia i roto i te nekehanga pere - whakatau i te tere tīmatanga ki ngā wāhanga whakapae me ngā wāhanga poutū

1. Ka wehe atu te whutupōro i te whenua i te koki θ = 60^o me te tere o te 10 m/s. Tātaihia ngā wāhanga o te tere tīmatanga!
Mōhiotia:
Koki (θ) = 60^o
Te tere tīmatanga (v_o) = 10 m/s
E hiahiatia ana: v_ox me te v_oy
Rongoā:
Whakatauhia te tere tīmatanga ki te wāhanga x (whakapae) me te wāhanga y (poutū).
hara θ = v_oy /v_o —–> v_oy = v_o hara θ
cos θ = v_ox /v_o —–> v_ox = v_o cos θ

wāhanga x (whakapae) :
v_ox = v_o cos θ = (10 m/s)(cos 60^o) = (10 m/s)(0.5) = 5 m/s

wāhanga y (poutū):
v_oy = v_o sin θ = (10 m/s)(sin 60^o) = (10 m/s)(0.5√3) = 5√3 m/s

2. Ka wehe atu tētahi mea i te whenua i te koki θ = 30^o me te wāhanga y o te tere 10 m/s. Tātaihia te tere tīmatanga!
Mōhiotia:
Koki (θ) = 30^o
wāhanga y (v_oy) = 10 m/s
E hiahiatia ana: Te tere tīmatanga (v_o)
Rongoā:
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

3. Ko te wāhanga whakapae o te tere tīmatanga he 30 m/s, ā, ko te wāhanga poutū o te tere tīmatanga he 40 m/s. Tātaihia te tere tīmatanga.
Mōhiotia:
Wāhanga whakapae o te tere tīmatanga (v_ox) = 30 m/s
Wāhanga poutū o te tere tīmatanga (v)_oy) = 40 m/s
E hiahiatia ana: Te tere tīmatanga (v_o)
Rongoā:
v_o² = v_ox² +v_oy² = 30² + 40² = 900 + 1600 = 2500
v_o = √2500
v_o = 50m/s

4. Ka tukuna whakapaetia tētahi pōro iti me te tere tīmatanga v_o = 6m/s. Tātaihia te wāhanga x me te wāhanga y o te tere tīmatanga.
Mōhiotia:
Te tere tīmatanga (v_o) = 6 m/s
E hiahiatia ana: reo me te v_oy
Rongoā:
Ka neke whakapae te pōro kia rite te wāhanga whakapae o te tere (v)_ox) = te tere tīmatanga (v_o) = 6 m/s. Te wāhanga poutū o te tere (v_oy) = 0.

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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 tūnga o ngā mea
6. Whakatauhia te tere whakamutunga