Kufamba nekukurumidzisa nguva dzose - matambudziko nemhinduro

Matambudziko Akagadziriswa muKufamba Kwemutsetse - Kukurumidza Kushanda

1. Mota inomhanyisa mota kubva pakuzorora kusvika pa20 m/s mumasekonzi gumi. Tsvaga kuti mota yacho inomhanyisa mota zvakadii!

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 0 (zororo)

Nguva yepakati (t) = masekondi gumi nemashanu

Kumhanya kwekupedzisira (v)_t) = 20 m/s

Wanted Kukurumidzisa (a)

Solution:

v_t =v_o + pa

20 = 0 + (a)(10)

20 = 10 a

a = 20 / 10

a = 2 m/s²

2. Mota iri kudzikamisa kumhanya kubva pa30 m/s kuti izorore mumasekonzi gumi. Sarudza kuti mota iri kumhanyisa mota zvakadii.

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 30 m/s

Kumhanya kwekupedzisira (v)_t= = 0

Nguva yepakati (t) = masekondi gumi nemashanu

Zvaidiwa: kukurumidza (a)

Solution:

v_t =v_o + pa

0 = 30 + (a)(10)

– 30 = 10 a

a = – 30/10

a = -3 m/s²

Chiratidzo chekusaratidza chinoonekwa nekuti chekupedzisira velocity ishoma pane kumhanya kwekutanga.

3. Mota inotanga uye inomhanya ne4 m/s isingachinji² in Sekondi imwe. Sarudza havukavu uye daro mushure memasekonzi gumi.

mhinduro

(a) Kumhanya

Kukurumidza 4 m/s² zvinoreva kuwedzera kumhanya ne4 m/s sekondi imwe chete. Mushure memasekonzi maviri, kumhanya kwemotokari kunosvika 8 m/s. Mushure memasekonzi gumi, kumhanya kwemotokari kunosvika 40 m/s.

(b) Kureba

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o= = 0

Kumhanya kwekupedzisira (v)_t) = 40 m/s

Kukurumidzisa (a) = 4 m/s²

Zvaidiwa: mufambo

Solution:

s = v_o t + ½ pa² = 0 + ½ (4)(10²) = (2)(100) = mamita mazana maviri

4. Mota inofamba ne10 m/s isingachinji, yozodzika ne2 m/s isingachinji² kusvika zororo. Sarudza nguva yapera uye yemotokari mufambo usati wazorora.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 10 m/s

Kukurumidzisa (a) = -2 m/s² (Chiratidzo chekuramba chiripo chinoonekwa nekuti kumhanya kwekupedzisira kushoma pane kumhanya kwekutanga)

Kumhanya kwekupedzisira (v)_t) = 0 (zororo)

Zvaidiwa: Nguva uye daro

Solution:

(a) Nguva (t)

v_t =v_o + pa

0 = 10 + (-2)(t)

0 = 10 – 2 t

10 = 2 t

t = 10 / 2 = masekondi maviri

(b) Kureba

v_t² =v_o² + maekisero maviri

0 = 10² + 2(-2) s

0 = 100 – 4 masekondi

100 = masekondi mana

s = 100 / 4 = mamita makumi maviri nemashanu

5. Mota inofamba ne40 m/s, inodzika speed ne4 m/s isingachinji² kusvika wazorora. Tsvaga kumhanya uye daro mushure mekudzikira kwespeed mumasekonzi gumi!

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 40 m/s

Kukurumidzisa (a) = -4 m/s²

Nguva yepakati (t) = masekondi gumi nemashanu

Zvaidiwa: kumhanya kwekupedzisira (v)_t) uye daro (s)

Solution:

(a) Kumhanya kwekupedzisira

v_t =v_o + pa = 40 + (-4)(10) = 40 – 40 = 0 m/s

0 m/s zvinoreva kuzorora mumota.

(b) Kureba

s = v_o t + ½ pa² = (40)(10) + ½ (-4)(10)²) = 400 + (-2)(100) = 400 – 200 = mamita mazana maviri

6. Sarudza daro mushure memasekonzi gumi!

mhinduro

Kutenderera: s = vt = (10-0)(5-0) = (10)(5) = mamita makumi mashanu

7. Sarudza daro mushure memasekonzi gumi!

mhinduro

Kureba = nzvimbo yemativi mana + nzvimbo yemativi matatu

Kureba = (8-0)(8-0) + ½ (16-8)(8-0) = (8)(8) + ½ (8)(8) = 64 + 32 = 96 mamita

8. Tsvaga daro remotokari mushure memasekonzi mana!

mhinduro

Kureba = nzvimbo ine mativi matatu = ½ (4-0)(8-0) = ½ (4)(8) = mamita gumi nematanhatu

9. Mota inofamba ne 90 km/h ichipfuura mota yemapurisa inomira padivi pemugwagwa. Kwapera miniti imwe, mota yemapurisa inovatevera at 0.8 m / s²Kusvika kure kwemotokari yemapurisaes mota yacho?

Zvinozivikanwa:

Kumhanya kwemota (v) = 90 km/awa = 90,000 metres / 3600 seconds = 25 metres/sekondi

Nguva (t) = miniti imwe = masekondi makumi matanhatu

Kukurumidza kwemotokari yemapurisa (a) = 0.8 m/s²

Kumhanya kwekutanga kwemotokari yemapurisa (v)_o) = 0 m/s

Zvaidiwa: Kufamba kure nemotokari yemapurisa

Solution:

Mota inofamba nekumhanya kwakafanana. Kureba kwekufamba nemota:

Daro rekutanga:

s = vt = (25)(60) = mamita 1500

Daro rekupedzisira:

s = vt = (25)(t)

Nhambwe yese = 1500 + 25 t

Mota yemapurisa inofamba ichimhanya nguva dzose. Kufamba kure nemota yemapurisa:

s = v_o t + ½ pa² = (0)(t) + ½ (0.8)(t)²) = 0 + 0.4 t² = 0.4 t²

Kana mota yemapurisa yasvika pamotokari, daro rinofambwa nemotokari yemapurisa rakafanana nedaro rinofambwa nemotokari.

Kufamba kure nemota = daro rakafambwa nemotokari yemapurisa

1500 + 25 t = 0.4 t²

0.4 t² – 25 t – 1500 = 0

Shandisa fomura yequadratic:

Kufamba kure nemotokari yemapurisa:

s = 0.4 t² = (0.4)(100²) = (0.4)(10,000) = 4000 mamitas = 4 km

10. A motokari inofamba ne 24 m/s isingachinji mabhureki kuitira kuti ive ne kuderera kwesimba nguva dzose ye 0.952 m/s². Sarudza kumhanya kwemotokari amushure medaro re250 meters.

Zvinozivikanwa:

Kumhanya kwekutanga (v)_o) = 24 m/s

kumhanyisa (a) = – 0.952 m/s² (kusainwa kwekusawirirana nekuda kwekuderera kwedanho)

mufambo (d) = 250 mamitas

Zvaidiwa: Kumhanya kwemotokari mushure me 250 mamitas

Solution:

Inozivikanwa: kumhanya kwekutanga (v_o), kukurumidza (a), mufambo (d), zvaidiwa: kumhanya kwekupedzisira (v_t) saka shandisa equation ye v_t² =v_o² + 2 kuti d

v_t = yekupedzisira velocitymu_o = kutanga velocity, a = kukurumidza, d = mufambo

v_t² = (24)² + (2)(-0.952)(250)

v_t² = 576 - 476

v_t² = 100

v_t = √100

v_t = 10 m/s

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1. Kureba uye kutama
2. Avhareji yekumhanya uye avhareji yekumhanya
3. Kumhanya kunogara kuripo
4. Kukurumidza nguva dzose
5. Kufamba kwemahara kwekudonha
6. Kufamba pasi mukudonha kwakasununguka
7. Kufamba kumusoro nekudzika mukudonha kwakasununguka