Sarudza nguva yekufamba kweprojectile

Matambudziko akagadziriswa mukufamba kwezviratidziro - sarudza nguva yekufamba

1. Nhabvu inokandwa inosiya pasi nekona θ = 30 ^o kuenda kune yakatwasuka nekumhanya kwekutanga kwe10 m/s. Verenga nguva kuti usvike pakukwirira kwakanyanya! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 3 0 ^o

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva yekusvika pakukwirira kwakanyanya

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v _oy = v _o chivi θ = (10 m/s)(chivi 30 ^o ) = (10 m/s)(0.5) = 5 m/s

Nguva yekusvika pakukwirira kwepamusoro inosarudzwa ne equation yekufamba kwakamira . Sarudza divi rekumusoro serakanaka uye divi rezasi serakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 5 m/s (zvakanaka zvichikwira)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

Kumhanya kwekupedzisira pakukwirira kwakanyanya (v _t ) = 0

Zvinodiwa: nguva (t)

Solution:

v _t = vo _o + g t

0 = 5 + (-10)t

0 = 5 – 10 t

5 = 10 t

t = 5/10 = 0.5 p

2. Muviri unosimudzirwa kumusoro nekona ye30 ^o kuenda kune yakatwasuka nekumhanya kwekutanga kwe30 m/s. Verenga nguva yekubhururuka! Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 3 0 ^o

Kumhanya kwekutanga (v _o ) = 8 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva isati yasvika muviri usati warova pasi

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v _oy = v _o chivi θ = (8 m/s)(chivi 30 ^o ) = (8 m/s)(0.5) = 4 m/s

Tinotanga taverenga nguva kuti tisvike pakakwirira tichishandisa equation yekufamba kwakamira.

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 4 m/s (kukwira kumusoro)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

Kumhanya kwekupedzisira pakukwirira kwepamusoro (v _t ) = 0

Zvinodiwa: Nguva (t)

Solution:

v _t = vo _o + g t

0 = 4 + (-10)t

0 = 4 – 10 t

4 = 10 t

t = 4/10 = 0,4 p

Nguva yekusvika pakukwirira kwakanyanya i 0.4 s.

Nguva iri mumhepo ndeye 2 x 0.4 s = 0.8 s.

3. Muviri unosimudzwa mudenga nekona ye30 ^o nehupamhi hwemamita gumi kubva pachivako. Kumhanya kwawo kwekutanga i40 m/s. Zvinotora nguva yakareba sei kuti muviri usvike pasi? Kukurumidza kwegiravhiti i10 m/s ².

Zvinozivikanwa:

Angle (θ) = 3 0 ^o

Kureba kwekutanga (h _o ) = mamita gumi

Kumhanya kwekutanga (v _o ) = 40 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva iri mumhepo (t)

Solution:

Chikamu chakamira chekukurumidza kwekutanga:

v _oy = v _o chivi θ = (40 m/s)(chivi 30 ^o ) = (40 m/s)(0.5) = 20 m/s

Tinotanga taverenga nguva kuti tisvike pakakwirira tichishandisa equation yekufamba kwakamira.

Sarudza nzira iri kumusoro seyakanaka uye nzira iri pasi seyakaipa.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 20 m/s (kukwira kumusoro)

Kukurumidza kwegiravhiti (g) = – 10 m/s ² (kudzika pasi negative)

Kumhanya kwekupedzisira pakumhanya kwakanyanya (v _t ) = 0

Zvinodiwa: Nguva (t)

Solution:

v _t = vo _o + g t

0 = 20 + (-10)t

0 = 20 – 10 t

20 = 10 t

t = 20/10 = masekondi maviri

Nguva iri mumhepo = 2 x 2 seconds = 4 seconds.

Chinhu chacho chiri pamusoro pevhu mamita gumi. Masekonzi mana ndiyo nguva inosvika panzvimbo yakaenzana nenzvimbo yekutanga. Bhora richiri kufamba richidzika pasi.

Nguva yekusvika pasi inoverengwa uchishandisa equation yekufamba kwemahara kwekudonha.

Zvinozivikanwa:

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Kureba (h) = mamita gumi

Zvinodiwa: Nguva (t)

Solution:

h = 1/2 gt ^{​​​​2}

10 = 1/2 (10) t ²

10 = 5 t ²

t ² = 10/5 = 2

t = √2 = 1.4 masekonzi

Nguva yepakati = 1.4 masekondi.

Nguva yese = masekondi mana + masekondi 1.4 = masekondi 5.4.

4. Bhora diki rinotaridzwa rakatwasuka nekumhanya kwekutanga v _o = 15 m/s kubva pachivako chakareba mamita mashanu. Verenga nguva mumhepo ! Kukurumidza kwegiravhiti 10 m/s ²

Zvinozivikanwa:

Kureba (h) = mamita gumi

Kumhanya kwekutanga (v _o ) = 15 m/s

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva iri mumhepo (t)

Solution:

Nguva iri mumhepo inoverengwa uchishandisa equation yekufamba kwakasununguka.

Zvinozivikanwa:

Kureba (h) = mamita gumi

Kukurumidza kwegiravhiti (g) = 10 m/s ²

Zvinodiwa: Nguva (t)

Solution:

h = 1/2 gt ^{​​​​2}

5 = 1/2 (10) t ²

5 = 5 t ²

t ² = 5/5 = 1

t = √1 = sekondi imwe

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1. Gadzirisa kumhanya kwekutanga kuita zvikamu zvakatwasuka uye zvakamira
2. Sarudza nzvimbo yakatambanuka
3. Sarudza kukwirira kwakanyanya
4. Sarudza nguva inosara
5. Sarudza nzvimbo yezvinhu
6. Sarudza kumhanya kwekupedzisira