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 (kuzorora)

Nguva yepakati (t) = masekondi gumi nemashanu

Kumhanya kwekupedzisira (v _t ) = 20 m/s

Kudiwa : Kukurumidzisa (a)

Solution:

v _t = vo ₊ pa

20 = 0 + (a)(10)

20 = 10 a

a = 20 / 10

a = 2 m/s ²

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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

Zvinodiwa: kukurumidza (a)

Solution:

v _t = vo ₊ pa

0 = 30 + (a)(10)

– 30 = 10 a

a = – 30/10

a = -3 m/s ²

Chiratidzo chekusaratidza chiratidzo chinoonekwa nekuti kumhanya kwekupedzisira kushoma pane kumhanya kwekutanga.

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3. Mota inotanga uye inomhanyisa mota ne4 m/s ² musekondi imwe chete. Tsvaga kumhanya uye daro mushure memasekonzi gumi.

mhinduro

(a) Kumhanya

Kumhanyisa 4 m/s ² zvinoreva kuwedzera kumhanya 4 m/s pasekondi 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/s ²

Zvinodiwa: Kure

Solution:

s = _vot + ½ pa ² = 0 + ½ (4)(10 ² ) = (2)(100) = 200 metres

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4. Mota inofamba ne10 m/s isingachinji, yozodzika ne2 m/s isingachinji ^{kusvika yazorora. Sarudza nguva yapera uye} daro remota usati wazorora.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 10 m/s

Kukurumidza (a) = -2 m/s ² (Chiratidzo chekusaratidza chinoonekwa nekuti kumhanya kwekupedzisira kushoma pane kumhanya kwekutanga)

Kumhanya kwekupedzisira (v _t ) = 0 (kuzorora)

Zvinodiwa: Nguva uye daro

Solution:

(a) Nguva (t)

v _t = vo ₊ pa

0 = 10 + (-2)(t)

0 = 10 – 2 t

10 = 2 t

t = 10 / 2 = masekondi maviri

(b) Kureba

v _t ² = v _o ² + 2 se

0 = 10 ² + 2(-2) s

0 = 100 – 4 masekondi

100 = masekondi mana

s = 100 / 4 = mamita makumi maviri nemashanu

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5. Mota inofamba ne40 m/s, inodzika daro rakaenzana ne4 m/s ² kusvika yazorora. Tsvaga kumhanya uye daro mushure mekudzika daro mumasekonzi gumi!

mhinduro

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 40 m/s

Kukurumidzisa (a) = -4 m/s ²

Nguva yepakati (t) = masekondi gumi nemashanu

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

Solution:

(a) Kumhanya kwekupedzisira

v _t = vo _o + pa = 40 + (-4)(10) = 40 – 40 = 0 m/s

0 m/s zvinoreva kuzorora mumota.

(b) Kureba

s = _vot + ½ pa ² = (40)(10) + ½ (-4)(10 ² ) = 400 + (-2)(100) = 400 – 200 = mamita mazana maviri

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6. Sarudza daro mushure memasekonzi gumi!

mhinduro

Kureba: 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 ne90 km/h ichipfuura mota yemapurisa inomira padivi pemugwagwa. Kwapera miniti imwe, mota yemapurisa inodzingirirana ne0.8 m/s . ^2. Mota yemapurisa inosvika papi mota iyi?

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/s ²

Kumhanya kwekutanga kwemotokari yemapurisa (vo ₎ = 0 m/s

Kudiwa: 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 = vot ₊ ½ pa ² = (0)(t) + ½ (0.8)(t ² ) = 0 + 0.4 t ² = 0.4 t ²

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

Kufamba nemota = daro rakafambwa nemota yemapurisa

1500 + 25 t = 0.4 t ²

0.4 t ² – 25 t – 1500 = 0

Shandisa fomura yequadratic:

Kufamba kure nemotokari yemapurisa:

s = 0.4 t ² = (0.4)(100 ² ) = (0.4)(10,000) = 4000 mamita s = 4 km

10. Mota inofamba nemabhureki e24 m/s asingachinji zvekuti ine kudzikira kwe 0.952 m /s ^2. Sarudza kumhanya kwemota mushure medaro re 250 metres.

Zvinozivikanwa:

Kumhanya kwekutanga (v _o ) = 24 m/s

Kukurumidza (a) = – 0.952 m/s ² ( negative signed because deceleration )

Kureba ( d ) = mamita mazana maviri nemakumi mashanu s

Zvinodiwa: Kumhanya kwemotokari mushure memamita mazana maviri nemakumi mashanu

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 = kumhanya kwekupedzisira , v _o = kumhanya kwekutanga , a = kukurumidza , d = daro

v _t ² = (24) ² + (2)(-0.952)(250)

v _t ² = 576 – 476

v _t ² = 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