Muenzaniso wemubvunzo wekuona nguva yekufamba kweparabolic

Mienzaniso mina yemibvunzo yekuona nguva yekufamba kweparabolic

1. Bhora rinokandwa mudenga nekona ye30^o pamusoro pemunda nekumhanya kwekutanga kwe10 m/s. Sarudza nguva yekuti bhora risvike pakukwirira kwaro kwakanyanya! Kukurumidza kwegiravhiti = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 30^o
Kecepatan kutanga (v)_o) = 10 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Nguva yekuti bhora risvike pakukwirira kwaro kwepamusoro
Mhinduro:
Kumhanya kwekutanga kwebhora munzira yakatwasuka:
v_oy =v_o chivi θ = (10 m/s)(chivi 30^o) = (10 m/s)(0,5) = 5 m/s

Nguva iyo bhora rinosvika pakukwirira kwaro kwepamusoro inoverengerwa uchishandisa fomura kufamba kwakamira kumusoro.
Mukugadzirisa matambudziko ane chekuita nekufamba kwakamira kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector nzira yekudzika inopiwa chiratidzo chekusateerera.
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 5 m/s (yakanaka nekuti kutungamira kwekukurumidza kwekutanga kuri kumusoro)
Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s² (haisi yakanaka nekuti divi rekumhanya kwesimba regiravhiti riri pasi)
Kumhanya kwekupedzisira (v)_t) = 0 (pahurefu hwakanyanya, chinhu chacho chinoramba chiripo kwechinguva chisati chachinja divi)
Akabvunzwa: Nguva yepakati (t)
Mhinduro:
Zvinozivikanwa kuti v_o, g na v_t, akabvunza t saka fomura v inoshandiswa_t =v_o + gt
v_t =v_o + gt
0 = 5 + (-10)t
0 = 5 – 10 t
5 = 10 t
t = 5/10 = masekondi maviri
Nguva yekuti bhora risvike pakukwirira kwaro kwakanyanya imasekondi maviri.

2. Bhora rinokandwa mudenga nekona ye30^o bhora rakatwasuka richimhanya 8 m/s. Zvinotora nguva yakareba sei kuti bhora risvikekufamba kweparabolicKukurumidza kwesimba nekuda kwegiravhiti = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 30^o
Kumhanya kwekutanga (v)_o) = 8 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Nguva iyo bhora rinofamba muparabola
Mhinduro:
Kumhanya kwekutanga kwebhora munzira yakatwasuka:
v_oy =v_o chivi θ = (8 m/s)(chivi 30^o) = (8 m/s)(0,5) = 4 m/s

Kutanga, verenga nguva yekuti chinhu chisvike pakukwirira kwacho uchishandisa fomura yekufamba wakamira uchikwira.
Mukugadzirisa matambudziko ekufamba kwakamira kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chekusawirirana.
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 4 m/s (yakanaka nekuti kutungamira kwekukurumidza kwekutanga kuri kumusoro)
Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s² (haisi yakanaka nekuti divi rekumhanya kwesimba regiravhiti riri pasi)
Kumhanya kwekupedzisira (v)_t) = 0 (pahurefu hwakanyanya, chinhu chacho chinoramba chiripo kwechinguva chisati chachinja divi)
Akabvunzwa: Nguva yepakati (t)
Mhinduro:
Zvinozivikanwa kuti v_o, g na v_t, akabvunza t saka fomura inoshandiswa v_t =v_o + gt
v_t =v_o + gt
0 = 4 + (-10)t
0 = 4 – 10 t
4 = 10 t
t = 4/10 = masekondi maviri
Nguva yekuti bhora risvike pakukwirira kwaro kwakanyanya imasekondi maviri.
Nzira yebhora yakaenzana, saka nguva yekuti bhora rifambe richikwira yakaenzana nenguva yekuti bhora rifambe richidzika. Saka nguva yese iyi i2 x 0,4 seconds = 0,8 seconds.

3. Bara rinopfurwa mudenga nekona ye30°^o Kumhanya kwebara kwakatwasuka kubva panzvimbo iri pamamita gumi kubva pasi. Kumhanya kwekutanga kwebara iri 40 m/s. Zvinotora nguva yakareba sei kuti bara risvike pasi? Kumhanya kunokonzerwa negiravhiti i10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 30^o
Kureba kwekutanga (h)_o) = 10 mamita
Kumhanya kwekutanga (v)_o) = 40 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Nguva iyo bara riri mudenga
Mhinduro:
Kumhanya kwekutanga kwebhora munzira yakatwasuka:
v_oy =v_o chivi θ = (40 m/s)(chivi 30^o) = (40 m/s)(0,5) = 20 m/s

Kutanga, verenga nguva yekuti bara risvike pakukwirira kwaro uchishandisa fomura yekufamba wakamira uchikwira.
Mukugadzirisa matambudziko ekufamba kwakamira kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chekusawirirana.
Zvinozivikanwa kuti:
Kumhanya kwekutanga (v)_o) = 20 m/s (yakanaka nekuti kutungamira kwekukurumidza kwekutanga kuri kumusoro)
Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s² (haisi yakanaka nekuti divi rekumhanya kwesimba regiravhiti riri pasi)
Kumhanya kwekupedzisira (v)_t) = 0 (pahurefu hwakanyanya, chinhu chacho chinoramba chiripo kwechinguva chisati chachinja divi)
Akabvunzwa: Nguva yepakati (t)
Mhinduro:
Zvinozivikanwa kuti v_o, g na v_t, akabvunza t saka fomura inoshandiswa v_t =v_o + gt
v_t =v_o + gt
0 = 20 + (-10)t
0 = 20 – 10 t
20 = 10 t
t = 20/10 = masekondi maviri
Nguva yekuti bhora risvike pakukwirira kwaro kwakanyanya imasekondi maviri.
Nzira yebhora yakaenzana saka nguva iyo bhora riri mudenga ndeye 2 x 2 seconds = 4 seconds.

Bara rinopfurwa kubva panzvimbo iri pamusoro pevhu nemamita gumi. Zvinotora masekonzi mana kuti bhora risvike kwarinotangira. Bhora rinoramba richidzika pasi.

Nguva yenguva yekuti bhora rifambe pasi kubva pakukwirira kwemamita gumi inoverengerwa senzira yekuona nguva yekufamba kwemahara.
Zvinozivikanwa kuti:
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Kureba (h) = mamita makumi maviri
Akabvunzwa: Nguva yepakati (t)
Mhinduro:
Zvapiwa g, h uye zvakabvunzwa t kuitira kuti fomura yekufamba kwemahara yekudonha inoshandiswa ive h = 1/2 gt²
h = 1/2 gt²
10 = 1/2 (10) t²
10 = 5 t²
t² = 10/5 = 2
t = √2 = sekondi imwe
Nguva yekuti bara ridonhe kubva pakakwirira kwemamita mashanu imasekondi 1,4.

Nguva yose iyo bara iri mudenga imasekondi mana + 1,4 seconds = 5,4 seconds.

4. Matombo anokandwa kurudyi kubva pakakwirira kwemamita mashanu nekumhanya kwekutanga kwe15 m/s. Sarudza nguva iyo matombo ari mumhepo! Kukurumidza kunokonzerwa negiravhiti = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Kureba (h) = mamita makumi maviri
Kumhanya kwekutanga (v)_o) = 15 m/s
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Nguva iyo marombo ari mumhepo
Mhinduro:
Nzira yekufamba kwedombo iri yakaita sezviri kuratidzwa mumufananidzo. Nguva iyo dombo iri mumhepo inoverengwa uchishandisa fomura. kufamba kwemahara kwekudonha.
Zvinozivikanwa kuti:
Kureba (h) = mamita makumi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²

Akabvunzwa: Nguva yepakati (t)
Mhinduro:
Zvapiwa g, h uye zvakabvunzwa t kuitira kuti fomura yekufamba kwemahara yekudonha inoshandiswa ive h = 1/2 gt²
h = 1/2 gt²
5 = 1/2 (10) t²
5 = 5 t²
t² = 5/5 = 1
t = √1 = sekondi imwe
Nguva yekuti bara ridonhe kubva pakakwirira kwemamita mashanu imasekondi 1.

[Chirungu : Kugadzirisa matambudziko ekufamba kwezviratidziro - sarudza nguva yekufamba]