# Ihe atụ nke Ajụjụ Ngagharị Nha otu Linear
Njem Nlereanya nke Uniform Linear (GLB) bụ echiche dị mkpa na fiziki. Ọ bụ mmegharị nke ihe n'okporo ụzọ kwụ ọtọ na ọsọ na-agbanwe agbanwe. Nke a pụtara na ọ dịghị ngwa ngwa, ọsọ ahụ na-adịgidekwa n'otu ebe. Isiokwu a ga-enye ọtụtụ ihe atụ nke nsogbu GLB na ngwọta ha iji nyere gị aka ịghọta echiche a nke ọma.
## Nkọwa Isi nke GLB
Sebelum masuk ke contoh soal, kita ulas dahulu beberapa echiche ndị bụ isi dari Gerak Lurus Beraturan. Dalam GLB, persamaan kecepatan didefinisikan sebagai:
\[ v = \frac{s}{t} \]
Ebe:
– \( v \) bụ ọsọ,
– \( s \) bụ anya,
– \( t \) bụ oge.
Ebe ọ bụ na ọsọ ahụ adịghị agbanwe agbanwe, enwere ike ịkọwa anya njem ahụ site na nha nhata ahịrị:
\[ s = v \ugboro t \]
na:
– \( s \) bụ anya e mere,
– \( v \) bụ ọsọ na-aga n'ihu,
– \( t \) bụ oge achọrọ.
### Ajụjụ na Mkparịta ụka Ihe Nlereanya
#### Ajụjụ nke 1: Ịgbakọ Anya
Ajụjụ:
Ụgbọala na-aga n'ọsọ ọsọ nke 60 km/h ruo awa abụọ. Olee ebe ụgbọala ahụ na-aga?
Ngwọta:
Site na iji usoro anya bụ isi na GLB, \( s = v \times t \):
– Ọsọ (\( v \)) = 60 km/h
– Oge (\( t \)) = awa 2
Ogologo njem (\( s \)):
\[ s = v \ugboro t \]
\[ s = 60 \, \ederede{km/awa} \oge 2 \, \ederede{awa} \]
\[s = 120 \, \ederede{km} \]
Ya mere, anya ụgbọala ahụ na-aga bụ kilomita 120.
#### Ajụjụ nke Abụọ: Ịgbakọ Oge
Ajụjụ:
Onye na-eje ije na-agba ọsọ na-aga n'ọsọ na-adịghị agbanwe agbanwe nke kilomita ise n'otu awa. Ọ bụrụ na ọ ga-agarịrị kilomita iri na ise, ogologo oge ole ka ọ ga-ewe?
Ngwọta:
Site na iji usoro bụ isi maka oge na GLB, \( t = \frac{s}{v} \):
– Ogologo (\( s \)) = 15 km
– Ọsọ (\( v \)) = 5 km/h
Oge achọrọ (\( t \)):
\[t = \frac{s}{v} \]
\[ t = \frac{15 \, \ederede{km}}{5 \, \ederede{km/h}} \]
\[t = 3 \, \ederede{jam} \]
Ya mere, oge onye na-eje ije chọrọ bụ awa atọ.
#### Ajụjụ nke 3: Ịgbakọ Ọsọ
Ajụjụ:
Onye na-agba ígwè na-eme njem kilomita iri na asatọ n'ime awa 1.5. Kedu ọsọ onye na-agba ígwè na-agba mgbe niile?
Ngwọta:
Site na iji usoro bụ isi maka ọsọ na GLB, \( v = \frac{s}{t} \):
– Ogologo (\( s \)) = 18 km
– Oge (\( t \)) = awa 1.5
Ọsọ ọsọ (\( v \)):
\[ v = \frac{s}{t} \]
\[ v = \frac{18 \, \ederede{km}}{1.5 \, \ederede{awa}} \]
\[ v = 12 \, \ederede{km/h} \]
Ya mere, ọsọ onye na-agba ígwè na-agba mgbe niile bụ kilomita iri na abụọ kwa awa.
#### Ajụjụ nke 4: Njikọta Anya na Oge
Ajụjụ:
Ụgbọ okporo ígwè na-aga kilomita 240 n'ọsọ na-agbanweghi agbanwe. Ọ bụrụ na ọ na-ewe awa atọ iji ruo nkeji mbụ nke anya ahụ, gbakọọ oge niile achọrọ iji mezue njem ahụ dum.
Ngwọta:
Nke mbụ, anyị na-agbakọ anya nke otu ụzọ n'ụzọ anọ (1/4) nke njem niile:
\[ s_1 = \frac{1}{4} \times 240 \, \text{km} \]
\[ s_1 = 60 \, \ederede{km} \]
Ụgbọ okporo ígwè ahụ na-aga kilomita iri isii n'ime awa atọ. Ya mere, ọsọ nke ụgbọ okporo ígwè ahụ:
\[ v = \frac{60 \, \ederede{km}}{3 \, \ederede{awa}} \]
\[ v = 20 \, \ederede{km/h} \]
Na-esote, anyị na-agbakọ oge niile maka njem kilomita 240 na ọsọ nke kilomita 20/h:
\[t = \frac{s}{v} \]
\[ t = \frac{240 \, \ederede{km}}{20 \, \ederede{km/h}} \]
\[t = 12 \, \ederede{jam} \]
Ya mere, oge niile ụgbọ okporo ígwè ga-ewe iji zuru ike bụ awa iri na abụọ.
#### Ajụjụ nke 5: Ntụnyere Anya site na Ihe Abụọ
Ajụjụ:
Ụgbọala abụọ, A na B, na-agagharị n'ọsọ na-agbanwe agbanwe nke kilomita iri isii n'otu awa na kilomita iri asatọ n'otu awa. Ọ bụrụ na ha amalite ịkwaga n'otu oge site n'ebe dị iche iche, kedu anya dị n'etiti ha mgbe awa abụọ gachara?
Ngwọta:
Ụgbọala A:
\[ v_A = 60 \, \ederede{km/h} \]
\[t = 2 \, \ederede{jam} \]
\[ s_A = v_A \ugboro t \]
\[ s_A = 60 \, \ederede{km/awa} \oge 2 \, \ederede{awa} \]
\[ s_A = 120 \, \ederede{km} \]
Ụgbọala B:
\[ v_B = 80 \, \ederede{km/h} \]
\[t = 2 \, \ederede{jam} \]
\[ s_B = v_B \ugboro t \]
\[ s_B = 80 \, \ederede{km/awa} \oge 2 \, \ederede{awa} \]
\[ s_B = 160 \, \ederede{km} \]
Ihe dị iche n'etiti ha abụọ:
\[ \Delta s = s_B – s_A \]
\[ \Delta s = 160 \, \ederede{km} – 120 \, \ederede{km} \]
\[ \Delta s = 40 \, \ederede{km} \]
Ya mere, mgbe awa abụọ gachara, anya dị n'etiti ụgbọala abụọ ahụ bụ kilomita iri anọ.
Mmechi ###
Ngagharị Ngagharị N'otu Ugboro bụ echiche dị mkpa na fiziki nke na-akọwa mmegharị n'ọsọ na-aga n'ihu. Site na ihe atụ ndị enyere, a na-atụ anya ka ndị na-agụ akwụkwọ ghọta nke ọma otu esi etinye usoro mmegharị n'otu ugboro n'ọnọdụ dị iche iche. Nsogbu ndị a abụghị naanị na-enyere aka ịghọta echiche kamakwa itinye ya n'ọrụ bara uru na ndụ kwa ụbọchị. Iji ghọta mmegharị n'otu ugboro, a na-atụ aro ka ị nọgide na-eme ihe na ọtụtụ nsogbu.