Avhareji yekumhanya - matambudziko nemhinduro
1. Mumwe munhu anotenderera rectangle ine urefu hwemamita mazana mana nehupamhi hwemamita zana, kagumi nembiri muawa imwe chete. Chii chinonzi avhareji yekumhanya uye avhareji yekumhanya?
Zvinozivikanwa:
Kureba kwerectangle = mamita mazana mana
Upamhi hwe rectangle = mamita zana
Kutenderera kwerectangle = (2 x 400 metres) + (2 x 100 metres) = 800 metres + 200 metres = 1000 metres
Kureba = 12 x 1000 metres = 12,000 metres = 12 kilometers
Zvinodiwa: Avhareji yekumhanya uye avhareji yekumhanya
Solution:
Avhareji yekumhanya:
Munhu anodzokera pakumhanya kwekutanga mushure mekutenderera kwerectangle, nokudaro kutama kwemunhu kuri 0 uye avhareji yekumhanya iri 0.
Avhareji yekumhanya:
Avhareji yekumhanya = daro rese / nguva yepakati = 12 km / awa imwe = 12 km/awa
2. Kubatana kuripo pakati pedaro (d) nenguva (t) yechinhu chinofamba kunoratidzwa mumufananidzo uri pazasi. Kana daro riri mumamita uye nguva iri mumasekonzi, chii chinonzi avhareji yekukurumidza.
mhinduro
Avhareji yekumhanya = daro / nguva pakati
Avhareji yekumhanya = mamita gumi nemashanu / masekonzi matanhatu = mamita maviri nehafu pasekondi
3. Shiri inobhururuka ichienda kuchamhembe ne16 m/s mumasekonzi mashanu uye yozobva yaenda kumabvazuva ne12 m/s mumasekonzi mashanu. Ndeipi avhareji yekumhanya kwemasekonzi gumi.
Solution:
Kumhanya kweshiri kuenda kuchamhembe: 16 metres/sekondi = 16 metres / 1 second
Mushure mesekondi imwe chete, shiri inofamba kusvika pamamita gumi nematanhatu
Mushure memasekonzi maviri, shiri iyi inofamba kusvika pa2 x 16 = mamita makumi matatu nemaviri.
Mushure memasekonzi maviri, shiri iyi inofamba kusvika pa5 x 16 = mamita makumi matatu nemaviri.
Kumhanya kweshiri kuenda kumabvazuva: 12 metres/sekondi = 12 metres / 1 second
Mushure mesekondi imwe chete, shiri inofamba kusvika pamamita gumi nemaviri
Mushure memasekonzi maviri, shiri iyi inofamba kusvika pa2 x 12 = mamita makumi matatu nemaviri.
Mushure memasekonzi maviri, shiri iyi inofamba kusvika pa5 x 12 = mamita makumi matatu nemaviri.
Kutamiswa (s) :
s = √80 2 + 60 2
s = √6400 + 3600
s = √10,000
s = mamita gumi
Avhareji yekumhanya (v):
v = kutama / nguva
v = mamita zana / masekonzi gumi
v = mamita gumi/sekondi
1. Mubvunzo: Chii chinonzi avhareji yekumhanya? Mhinduro: Avhareji yekumhanya inguva yese yekuchinja kwechinhu yakakamurwa nenguva yese yakatorwa. Inhamba yevector uye ine hukuru negwara.
2. Mubvunzo: Avhareji yekumhanya inosiyana sei nekumhanya kweavhareji? Mhinduro: Avhareji yekumhanya idaro rese rinofambwa rakakamurwa nenguva yese inotorwa, uye harifungi nezvekwakananga. Avhareji yekumhanya, kune rumwe rutivi, inofunga nezvekutama kwese (kuchinja kwenzvimbo) uye kwairi kuenda.
3. Mubvunzo: Kana mota ichifamba makiromita mazana maviri kuchamhembe uye yozofamba makiromita mazana maviri kuchamhembe mumaawa masere, avhareji yekumhanya kwayo ndeyei? Mhinduro: Mota inodzokera panzvimbo yayo yekutanga, saka kufamba kwayo kwese i0 km. Saka, kwayo
4. Mubvunzo: Avhareji yekumhanya inogona kuva negative here? Mhinduro: Ehe, avhareji yekumhanya inogona kuva negative, zvichienderana negwara rakasarudzwa rekutarisa. Kana chinhu chikafamba nenzira yakatarisana nereference, avhareji yekumhanya kwayo ichave negative.
5. Mubvunzo: Sei avhareji yekukurumidza iri vhekitari? Mhinduro: Avhareji yekukurumidza ivhekitari nekuti ine hukuru (kuti chinhu chinofamba nekukurumidza sei) uye gwara (kuti chinhu chinofamba nenzira ipi).
6. Mubvunzo: Kana girafu yenguva yekutama kwechinhu iri mutsetse wakatwasuka, ungati chii nezve avhareji yekutama kwayo? Mhinduro: Kana girafu yenguva yekutama iri mutsetse wakatwasuka, chinhu chacho chine kumhanya kwakasimba, uye avhareji yekutama kwayo panguva ipi neipi ichave yakafanana nekumhanya kwayo kwakasimba pane chero nzvimbo.
7. Mubvunzo: Hukuru hweavhareji yekumhanya hunogona here kupfuura avhareji yekumhanya? Mhinduro: Kwete, hukuru hweavhareji yekumhanya haugone kudarika avhareji yekumhanya. Zvingangoita kuti vaenzane kana nzira yechinhu negwara rekufamba zvikafanana.
8. Mubvunzo: Ungaverenga sei avhareji yekukurumidza kubva pagirafu yekukurumidza-nguva? Mhinduro: Avhareji yekukurumidza kwegirafu yekukurumidza-nguva inogona kuwanikwa nekuverenga nzvimbo iri pasi pegirafu (kana pakati pegirafu ne x-axis) woiparadzanisa nenguva yese.
9. Mubvunzo: Zvinorevei kana chinhu chine avhareji yekumhanya kwe zero? Mhinduro: Kana chinhu chine avhareji yekumhanya kwe zero, zvinoreva kuti nzvimbo dzacho dzekutangira nedzekuguma dzakafanana panguva yakatarwa, kunyangwe kana chakafamba panguva iyoyo.