Te nekehanga rārangi kore-taurite – ngā raruraru me ngā otinga
1.
E whakaatu ana te ripanga i runga ake nei i ngā raraunga mō ngā mea e toru e haere ana i te tawhiti ōrite me te whakaterenga pumau.
He aha te tere whakamutunga o te mea P me te tere tīmatanga o te mea Q?
Rongoā:
Tuatahi, tātaihia te tawhiti i haerea e te mea 3.
Te tawhiti i haerea e te mea 3 :
Mōhiotia :
Tere tīmatanga (v o ) = 0 m/s
Tere whakamutunga (vt ) = 30 m/s
Whakaterenga (a) = 3 m/s 2
E hiahiatia ana : Tawhiti
Rongoā:
v t 2 = v o 2 + 2 hei
v t 2 – v o 2 = 2 hei
30 2 – 0 2 = 2 (3) hēkona
900 – 0 = 6 hēkona
900 = 6 hēkona
s = 900 / 6
s = 150 mita
Te tere whakamutunga o te mea 1 :
Mōhiotia:
Tere tīmatanga (v o ) = 20 m/s
Whakaterenga (a) = 4 m/s 2
Tawhiti (s) = 150 mita
E hiahiatia ana: Tere whakamutunga ( vt )
Rongoā:
v t 2 = v o 2 + 2 hei
v t 2 = 20 2 + 2 (4)(150)
v t 2 = 400 + 1200
v t 2 = 1600
vt = 40 m/s
Te tere tīmatanga o te mea 2:
Mōhiotia:
Tere whakamutunga (vt ) = 50 m/s
Whakaterenga (a) = 3 m/s 2
Tawhiti (s) = 150 mita
E hiahiatia ana: Te tere tīmatanga (v o )
Rongoā:
v t 2 = v o 2 + 2 hei
v t 2 – 2 as = v o 2
50 2 – 2(3)(150) = v o 2
2500 – 900 = v o 2
1600 = v o 2
v o = 40 m/s
2. E toru ngā mea e haere ana i runga i te papa whakapae me te whakaterenga pumau. He rite tonu te whakaterenga o ngā mea e toru. Ko ngā raraunga o ngā mea e toru i te wā e haere ana i roto i te 10 hēkona, e whakaaturia ana i te pikitia i raro nei.
Whakatauhia a P me Q.
Rongoā:
Tuatahi, tautuhia te whakaterenga o te mea 1.
Te whakaterenga o te mea 1:
Mōhiotia:
Ko te tere tīmatanga (v o ) = 2 m/s
Ko te tere whakamutunga (v t ) = 22 m/s
Tawhiti (s) = 120 mita
E hiahiatia ana: Tawhiti
Rongoā:
v t 2 = v o 2 + 2 hei
v t 2 – v o 2 = 2 hei
22 2 – 2 2 = 2 a (120)
484 – 4 = 240 a
480 = 240
ā = 480/240
a = 2 m/s 2
Te tere tīmatanga o te mea 2 :
Mōhiotia:
Whakaterenga (a) = 2 m/s 2
Tere whakamutunga (vt ) = 24 m/s
Tawhiti (s) = 140 mita
E hiahiatia ana: Te tere tīmatanga (v o )
Rongoā:
v t 2 = v o 2 + 2 hei
24 2 = v o 2 + 2 (2)(140)
576 = v o 2 + 560
576 – 560 = v o 2
16 = v o 2
v o = 4 m/s
Te tawhiti o te mea 3:
Mōhiotia:
Tere tīmatanga (v o ) = 0 m/s
Tere whakamutunga (vt ) = 20 m/s
Whakaterenga (a) = 2 m/s 2
E hiahiatia ana : Tawhiti (s)
Rongoā:
v t 2 = v o 2 + 2 hei
20 2 = 0 2 + 2 (2) hēkona
20 2 = 2 (2) hēkona
400 = 4 hēkona
s = 400/4
s = 100 mita s
3. Tātaihia te tawhiti i haerea e te mea i roto i te 40 hēkona.
Rongoā:
Horahanga 1 = horahanga o te tapawhā rite = (20-0)(8-0) = (20)(8) = 160 mita
Horahanga 2 = horahanga o te tapatoru = ½ (25-20)(8-0) = ½ (5)(8) = (5)(4) = 20 mita
Horahanga 3 = horahanga o te tapatoru = ½ (30-25)(8-0) = ½ (5)(8) = (5)(4) = 20 mita
Horahanga 4 = horahanga o te tapawhā rite = (40-30)(8-0) = (10)(8) = 80 mita
Ko te tawhiti i haerea i roto i te 40 hēkona = 160 + 20 + 20 + 80 = 280 mita
4. Ko te huringa o te tere o te mea i roto i te 2 hēkona e whakaaturia ana e te kauwhata i raro nei. Tātaihia te tawhiti i haerea e te mea.
Rongoā:
Horahanga 1 = horahanga o te tapatoru = ½ (5-0)(20-0) = ½ (5)(20) = (5)(10) = 50 mita
Horahanga 2 = horahanga o te tapawhā rite = (15-5)(20-0) = (10)(20) = 200 mita
Horahanga 3 = horahanga o te tapatoru = ½ (20-15)(20-0) = ½ (5)(20) = (5)(10) = 50 mita
Te tawhiti i haerea mō te 20 hēkona = 50 + 200 + 50 = 300 mita
- He aha te mea e wehewehe ai i te nekehanga rārangi kore-taurite mai i te nekehanga rārangi taurite?
- whakahoki: Ko te nekehanga rārangi kore-taurite he huringa tere i roto i te wā, ko te tikanga he whakaterenga kei roto. He rerekē, ko te nekehanga rārangi taurite e tohu ana i te nekehanga o te mea me te tere pumau, kāore he whakaterenga.
- He aha te hononga o te tawhiti i haerea e tētahi mea i roto i te nekehanga rārangi kore-taurite ki te horahanga i raro i tana kauwhata tere-wā?
- whakahoki: Ko te tawhiti i haerea e tētahi mea i roto i te nekehanga rārangi kore-taurite he ōrite ki te horahanga i raro i tana kauwhata tere-wā.
- Mena he rārangi whakapae tika i runga ake i te tuaka wā te kauwhata whakaterenga-wā o tētahi mea, he aha tāna e tohu ana mō te nekehanga o te mea?
- whakahoki: E tohu ana tēnei kei te haere tonu te whakaterenga pai o te mea. Kei te piki haere tonu te tere o te mea i tētahi tere pumau.
- He aha e kore ai e taea te tatau noa i te tere toharite hei te toharite o ngā tere tīmatanga me ngā tere whakamutunga i roto i te nekehanga kore-taurite?
- whakahoki: Mō te nekehanga kore-taurite, kāore te tere i te pumau, nō reira ko te nekehanga tuturu ka nui ake, ka iti iho rānei i te mea i matapaetia mā te tatau noa i ngā tere tīmatanga me ngā tere whakamutunga. Ko te tikanga tika mō te nekehanga kore-taurite ko te whakauru i te tere i roto i te wā kua hoatu, te whakamahi rānei i ngā whārite kinematic e whai whakaaro ana ki te whakaterenga.
- Me pēhea e whakaahua ai koe i te nekehanga o tētahi mea ko tōna kauwhata tere-wā he rārangi tika e piki whakararo ana?
- whakahoki: Ko te rārangi tika e heke ana ki raro i runga i te kauwhata tere-wā e tohu ana kei te neke te mea me te whakaterenga kino pumau, arā, kei te whakaheke, kei te whakaroa rānei mēnā he tere pai tōna i te tīmatanga.
- I roto i te nekehanga kore-taurite, he aha te hononga o te tere inamata i tētahi wā motuhake ki te pari o te kauwhata nekehanga-wā i taua wā?
- whakahoki: Ko te tere inamata i tētahi wā motuhake i roto i te nekehanga kore-taurite ka hoatu e te pari, te rōnaki rānei o te kauwhata nekehanga-wā i taua pūwāhi motuhake.
- He aha te tohu o te kōpiko i runga i te kauwhata nekehanga-wā mō te āhua o te nekehanga o tētahi mea?
- whakahoki: E tohu ana te kōpiko i runga i te kauwhata nekehanga-wā i te nekehanga kore-taurite, e tohu ana kei te huri (e piki ana, e heke ana rānei) te tere o te mea i roto i te wā.
- Mena he parabolic te kauwhata nekehanga-wā o tētahi mea, ā, ka tuwhera ki runga, he aha tāu e whakatau ai mō tōna whakaterenga?
- whakahoki: Mena he parabola te kauwhata nekehanga-wā e tuwhera ana ki runga, e tohu ana tēnei kei te haere te mea i roto i te whakaterenga pai pumau.
- He aha te hononga o te whakaterenga o tētahi mea i roto i te nekehanga kore-taurite ki te horahanga i raro i tana kauwhata tere-wā?
- whakahoki: Ko te panonitanga o te tere (ina whakareatia ki te papatipu ka puta te panonitanga o te nekehanga) o te mea i roto i te nekehanga kore-taurite he ōrite ki te horahanga i raro i tana kauwhata whakaterenga-wā. He mea nui kia mōhio ko te kauwhata tere-wā e whakarato ana i te panonitanga o te tere, ehara i te whakaterenga tika.
- He aha te pānga o te whakaterenga kino (whakapōturitanga) ki te tere o tētahi mea i roto i te nekehanga kore-taurite?
- whakahoki: Ko te whakaterenga kino, e kiia ana ko te whakahekenga tere, ka heke te tere o te mea. Mena he tere pai te mea i te tīmatanga, ā, ka heke te tere, ka heke, ā, ki te haere tonu te whakahekenga tere, ka taea e te mea te whakarerekē i tōna ahunga nekehanga.
