Ƙayyade saurin ƙarshe na motsi mai ƙarfi

1. Kwallon kafa da aka harba ta bar ƙasa a kusurwa θ = 30^o zuwa kwance tare da saurin farko na m14/s. Lissafa saurin ƙarshe kafin ƙwallon ta faɗi ƙasa.

An sani:

Kusurwa (θ) = 30^o

Saurin farko (v_o) = 14 m/s

Haɓaka nauyi (g) = 10 m / s²

Ana so: Saurin ƙarshe kafin ƙwallon ta faɗi ƙasa

Magani:

Sashen kwance na saurin farko:

v_ox = v_o cos θ = (14 m/s)(cos 30^o) = (14 m/s)(0.5√3) = 7√3 m / s

Bangaren tsaye na saurin farko:

v_oy = v_o zunubi θ = (14 m/s)(zunubi 30^o) = (14 m/s)(0.5) = 7 m/s

Saurin ƙarshe a tsaye a alkibla

Zaɓi hanyar sama a matsayin mai kyau, kuma hanyar ƙasa a matsayin mara kyau.

An sani:

Saurin farko (v)_o) = 7 m/s (tabbatacce zuwa sama)

Saurin nauyi (g) = –10 m / s² (mara kyau zuwa ƙasa)

Tsawo (h) = 0 (abin da aka mayar zuwa matsayin farko)

Ana so: Saurin ƙarshe (v)_t)

Magani:

v_t² = v_o² + 2 gh = 7² + 2(-10)(0) = 49 – 0 = 49

v_t = √49 = 7 m/s

Saurin ƙarshe a kwance a alkibla

Saurin farko a kwance shine 7√3 m/s. Saurin yana da daidaito don haka saurin ƙarshe yayi daidai da saurin farko.

Saurin ƙarshe kafin abu ya faɗi ƙasa

2. An haska jiki sama a kusurwar 30^o tare da kwance daga gini mai tsayin mita 5. Saurinsa na farko shine m10/s. Lissafa saurin ƙarshe kafin abin ya faɗo ƙasa! Saurin nauyi shine m10/s².

An sani:

Kusurwa (θ) = 30^o

Tsawon farko (h)_o) = mita 5

Saurin farko (v)_o) = 10 m/s

Saurin nauyi (g) = 10 m/s²

Ana so: Saurin ƙarshe

Magani:

Sashen kwance na saurin farko:

v_ox = v_o cos θ = (10 m/s)(cos 30^o) = (10 m/s)(0.5√3) = 5√3 m / s

Bangaren tsaye na saurin farko:

v_oy = v_o zunubi θ = (10 m/s)(zunubi 30^o) = (10 m/s)(0.5) = 5 m/s

Saurin ƙarshe a tsaye a alkibla

An sani:

Saurin farko (v)_o) = 5 m/s (tabbatacce zuwa sama)

hanzari na nauyi (g) = –10 m / s² (mara kyau zuwa ƙasa)

Tsawo (h) = -5 m (korau saboda ƙasa tana ƙasa da tsayin farko)

Ana so: Saurin ƙarshe (v)_t)

Magani:

v_t² = v_o² + 2 gh = 5² + 2(-10)(-5) = 25 + 100 = 125

v_t = √125 m/s

Saurin ƙarshe a kwance a alkibla

Saurin ƙarshe a kwance shine 5.3 m/s.

Saurin ƙarshe

3. Ƙaramin ƙwallon da aka zana a kwance tare da saurin farko v_o = 8 m/s daga gini mai tsayin mita 12. Lissafa saurin ƙarshe kafin ƙwallon ta faɗi ƙasaSaurin nauyi shine 10 m/s²

An sani:

Tsawo (h) = mita 12

Saurin farko (v)_o) = 8 m/s

Saurin nauyi (g) = 10 m/s²

Ana so: Saurin ƙarshe (v)_t)

Magani:

Sashen kwance na saurin farko:

v_ox = v_o = 8m/s

Bangaren tsaye na saurin farko:

v_oy = 0m/s

Saurin ƙarshe a tsaye a alkibla

an ƙididdige ta amfani da lissafin motsi na faɗuwa kyauta.

An sani:

Saurin nauyi (g) = 10 m / s²

Tsawo (h) = mita 12

Ana so: Saurin ƙarshe (v)_t)

Magani:

v_t² = 2 gh = 2(10)(12) = 240

v_t = √240 m/s

Saurin ƙarshe a kwance a alkibla

Gudun farko a alkiblar kwance shine 8 m/s. Gudun yana nan akai-akai don haka saurin farko yayi daidai da saurin ƙarshe. Don haka saurin ƙarshe a alkiblar kwance shine 8 m/s.

Saurin ƙarshe

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1. Warware saurin farko zuwa sassan kwance da a tsaye
2. Ƙayyade ƙaura a kwance
3. Ƙayyade matsakaicin tsayi
4. Ƙayyade tazarar lokaci
5. Ƙayyade matsayin abin
6. Ƙayyade saurin ƙarshe