Muenzaniso wemubvunzo wekuona nzvimbo yechinhu chiri kufamba muparabola

Mienzaniso mitatu yemibvunzo yekuona nzvimbo yechinhu chiri kufamba muparabola

1. Bhora rinokandwa mudenga nekona ye60^o Yakatambanuka nekumhanya kwekutanga kwe12 m/s. Tsvaga nzvimbo yechinhu mushure mekufamba kwesekondi imwe chete! Kukurumidza kwegiravhiti = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 60^o
Kecepatan kutanga (v)_o) = 12 m/s
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Nzvimbo yebhora mushure mekufamba kwesekondi imwe chete
Mhinduro:
Kutanga verenga zvikamu zvekutanga zvebhora munzira dzakatwasuka uye dzakatwasuka.
Kumhanya kwekutanga kwebhora munzira yakatwasuka:
v_ox =v_o cos θ = (12 m/s)(cos 60^o) = (12 m/s)(0,5) = 6 m/s

Kumhanya kwekutanga kwebhora munzira yakatwasuka:
v_oy =v_o chivi θ = (12 m/s)(chivi 60^o) = (12 m/s)(0,5√3) = 6√3 m/s

Kufamba kweparabolic kunoonekwa semusanganiswa wekufamba kwakatwasuka nekwakatwasuka. Kufamba kwakatwasuka kunoongororwa seizvi: kufamba kwakafanana kwemutsetse, ukuwo kufamba kwenzira yakatwasuka kuchiongororwa se kufamba kwakamira kumusoroNzvimbo yechinhu chiri munzira yakatwasuka inoverengerwa sekuona daro rechinhu chiri kufamba mumutsara wakatwasuka nemwero usingachinji, zvikasiyana nzvimbo yechinhu chiri munzira yakatwasuka inoverengerwa sekuona kukwirira kwechinhu chiri kufamba chakatwasuka mudenga.

Nzvimbo yebhora munzira yakatwasuka:
Zvinozivikanwa kuti:
Kumhanya kwebhora munzira yakatwasuka (v)_x) = 6 m/s
Mukufamba kwakafanana kwakatwasuka, kumhanya kwechinhu hakuchinji kuitira kuti kumhanya kwekutanga kwechinhu kwakafanana nekumhanya kwechinhu.
Nguva yepakati (t) = masekondi maviri
Akabvunzwa: Kureba kwezvinhu
Mhinduro:
Kumhanya kwemamita matanhatu pasekondi zvinoreva kuti bhora rinofamba mamita matanhatu pasekondi yega yega. Kureba kunofamba nebhora mushure mesekondi imwe chete mamita matanhatu. Saka, nzvimbo yakatwasuka yebhora mamita matanhatu.

Nzvimbo yebhora munzira yakatwasuka:
Mukugadzirisa dambudziko rekufamba wakamira kumusoro, huwandu hwevector Vekitari ine divi riri kumusoro inopiwa chiratidzo chakanaka, vekitari ine divi riri pasi inopiwa chiratidzo chekusateerera.
Zvinozivikanwa kuti:
Kumhanya kwekutanga kwebhora (v)_o) = 6√3 m/s (yakanaka nekuti kutungamira kwekukurumidza kwekutanga kuri kumusoro)
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s² (hazvina kunaka nekuti kukurumidza kwegiravhiti kuri pasi pasi pakati penyika)
Akabvunzwa: Kureba kwebhora mushure mekufamba kwesekondi imwe (h)
Mhinduro:
Zvinozivikanwa kuti v_o, t, g uye akabvunza h saka fomura yakashandiswa ndiyo h = v_o t + 1/2 gt²
h = v_o t + 1/2 gt² = (6√3)(1) + 1/2 (-10)(1)²) = 6√3 + (-5)(1) = 6√3 – 5 = 6(1,7) – 5 = 10,2 – 5 = 5,2 mamita.

Nzvimbo yebhora mushure mekufamba kwesekondi imwe chete:
Nzvimbo yebhora munzira yakatwasuka (x) = mamita matanhatu
Nzvimbo yebhora munzira yakatwasuka (y) = 5,2 metres
Saka macoordinates enzvimbo yebhora ndeaya (x; y) = (6; 5,2)

2. Bara rinopfurwa mudenga nekona ye30°^o Yakatambanuka kubva panzvimbo iri mamita makumi maviri pamusoro pepasi. Kumhanya kwekutanga kwebara iri 50 m/s. Bara iri richasvika pakakwirira sei mushure mekufamba kwesekondi imwe chete? Kumhanya kunokonzerwa negiravhiti i10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Angle (θ) = 30^o
Kureba kwekutanga kwebara (h)_o) = 20 mamita
Kumhanya kwekutanga kwebara (v)_o) = 50 m/s
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Kureba kwebara
Mhinduro:
Kumhanya kwekutanga kwebara mugwara rakamira:
Kutanga verenga chikamu chekutanga chebhora munzira yakatwasuka.
v_oy =v_o chivi θ = (50 m/s)(chivi 30^o) = (50 m/s)(0,5) = 25 m/s

Kureba kwebara:
Kureba kwebara kunoverengerwa senzira yekusarudza kukwirira mukufamba kwakamira kumusoro.
Mukugadzirisa matambudziko ekufamba kwakamira kumusoro, huwandu hwevector hwakanangidzirwa kumusoro hunopiwa chiratidzo chakanaka, huwandu hwevector hwakanangidzirwa pasi hunopiwa chiratidzo chekusawirirana.
Zvinozivikanwa kuti:
Kumhanya kwekutanga kwebara (v)_o) = 25 m/s (yakanaka nekuti kutungamira kwekukurumidza kwekutanga kuri kumusoro)
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = -10 m/s² (hazvina kunaka nekuti divi rekumhanya kwesimba rinokwevera pasi riri pasi richienda pakati penyika)
Akabvunzwa: Kureba kwebara (h)
Mhinduro:
Zvinozivikanwa kuti v_o, t, g uye akabvunza h saka fomura yakashandiswa ndiyo h = v_o t + 1/2 gt²
h = v_o t + 1/2 gt² = (25)(1) + 1/2 (-10)(1)²) = 25 + (-5)(1) = 25 – 5 = mamita makumi maviri.
Kureba kwebara mushure mekufamba kwesekondi imwe chete kuri mamita makumi maviri pamusoro penzvimbo yakapfurwa bara kana mamita makumi mana pamusoro penzvimbo yepasi.

3. Marble inokandwa yakatwasuka kurudyi kubva pakakwirira kwemamita gumi nekumhanya kwekutanga kwe10 m/s. Sarudza nzvimbo yemable mushure mekufamba kwesekondi imwe chete! Kukurumidza kunokonzerwa negiravhiti = 10 m/s²
Kukurukurirana
Zvinozivikanwa kuti:
Kureba kwekutanga (h) = mamita gumi
Kumhanya kwekutanga (v)_o) = 10 m/s
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Nzvimbo yemabhura mushure mekufamba kwesekondi imwe chete
Mhinduro:
Nzira yekufamba kwedombo remarble iri sezvakaratidzwa mumufananidzo. Kana nzira yacho iri parabolic sezvakaratidzwa mumufananidzo, nzvimbo yechinhu ichi munzira yakatwasuka inoonekwa sekuverenga kukwirira mukudonha kwakasununguka, nepo nzvimbo yechinhu ichi munzira yakatwasuka inoonekwa sekuverenga daro mukufamba kwakatwasuka kwakafanana.
Pakutanga dombo remabhuru rinofamba nenzira yakatwasuka kuitira kuti kumhanya kwekutanga kwedombo remabhuru kuende nenzira yakatwasuka (v)_ox) iri 10 m/s, ukuwo kumhanya kwekutanga kwedombo remabhuru mugwara rakamira (v)._oy) iri 0 m/s.

Nzvimbo yemabhuru munzira yakatwasuka:
Zvinozivikanwa kuti:
Kumhanya kwedombo remabhuru munzira yakatwasuka (v)_x) = 10 m/s
Mukufamba kwakafanana kwakatwasuka, kumhanya kwechinhu hakuchinji kuitira kuti kumhanya kwekutanga kwechinhu kwakafanana nekumhanya kwechinhu.
Nguva yepakati (t) = masekondi maviri
Akabvunzwa: Kureba kwezvinhu
Mhinduro:
Kumhanya kwemamita gumi pasekondi zvinoreva kuti dombo rinofamba mamita gumi pasekondi yega yega. Kureba kunofamba nedombo mushure mekufamba kwesekondi imwe chete i10 metres. Saka, nzvimbo yakatwasuka yedombo iri i10 metres.

Nzvimbo yemabhuru mugwara rakamira:
Yakaongororwa se kufamba kwemahara kwekudonha.
Zvinozivikanwa kuti:
Nguva yepakati (t) = masekondi maviri
Kukurumidza kunokonzerwa negiravhiti (g) = 10 m/s²
Akabvunzwa: Kureba kwedombo remabhuru mushure mekufamba kwesekondi imwe (h)
Mhinduro:
Zvichipiwa t, g uye zvakumbirwa h saka fomura yakashandiswa ndeye h = 1/2 gt²
h = 1/2 gt² = 1/2 (10)(1)²) = (5)(1) = mamita mashanu.
Mushure mesekondi imwe chete, dombo rinodonha mamita mashanu. Kureba kwedombo pamusoro pevhu mamita gumi - mamita mashanu = mamita mashanu.

Nzvimbo yemabhura mushure mekufamba kwesekondi imwe chete:
Nzvimbo yedombo remabhuru munzira yakatwasuka (x) = mamita gumi
Nzvimbo yedombo remabhuru mugwara rakamira (y) = mamita mashanu
Saka macoordinates enzvimbo yemarble ndeaya (x; y) = (10; 5)

[Chirungu : Kugadzirisa matambudziko ekufamba kwechinhu - kuona nzvimbo yechinhu]