Nquma indawo yento ekunyakazeni okubonakalayo

Izinkinga ezixazululiwe ekuhambeni kwe-projectile - thola indawo yento

1. Umzimba uphakanyiswa phezulu nge-engeli engu-60 ^o uye endaweni evundlile ngesivinini sokuqala esingu-12 m/s. Thola indawo yento ngemva kokuhamba umzuzwana owodwa! Ukusheshisa kwamandla adonsela phansi kungu-10 m/s ².

Kwaziwa:

I-engeli ( θ ) = 60 ^o

Ijubane lokuqala (v _o ) = 12 m/s

Isikhawu sesikhathi (t) = umzuzwana o-1

Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s ²

Okufunwayo: Indawo yento ngemva kokuhamba umzuzwana owodwa

Isixazululo:

Ingxenye evundlile yejubane lokuqala:

v _inkabi = v _o cos θ = (12 m/s)(cos 60 ^o ) = (12 m/s)(0.5) = 6 m/s

Ingxenye eqondile yejubane lokuqala:

v _oy = v _o isono θ = (12 m/s)(isono 60 ^o ) = (12 m/s)(0.5 √ 3 ) = 6 √ 3 m/s

Indawo yento endaweni evundlile:

Kwaziwa:

Ingxenye evundlile yejubane (v _x ) = 6 m/s

Isikhawu sesikhathi (t) = umzuzwana o-1

Okufunwayo: ububanzi obuvundlile (x)

Isixazululo:

Amamitha ayi-6/umzuzwana kusho ukuthi ibhola lihamba lize lifike kumamitha ayi-6 njalo ngomzuzwana owodwa. Ibanga lebhola ngemva kokuhamba umzuzwana owodwa lingamamitha ayi-6. Ngakho-ke indawo yebhola ohlangothini oluvundlile ingamamitha ayi-6.

Indawo yento esiqondisweni esiqondile:

Khetha indlela eya phezulu njengeyakhayo kanye nendlela eya phansi njengeyakhayo.

Kwaziwa:

Ijubane lokuqala (v _o ) = 6 √ 3 m/s (elihle phezulu)

Isikhawu sesikhathi (t) = umzuzwana o-1

Ukusheshisa kwamandla adonsela phansi (g) = -10 m/s ² (ukwehla okungekuhle)

Kufunwa: ukuphakama ngemva kokuhamba umzuzwana owodwa

Isixazululo:

h = v_o t + 1/2 gt² = ((6√3(1) + 1/2 (-10)(1²) = 6√3 + (-5)(1) = 6√3 – 5 = 6(1.7) – 5 = 10.2 – 5 = 5.2 amamitha.

Indawo yento ngemva kokuhamba isekhondi eli-1:

Ukuhamba okuvundlile (x) = amamitha ayi-6

Ukuhamba okuqondile (y) = amamitha angu-5.2

2. Umzimba uphakanyiswa phezulu nge-engeli engu-30 ^o uye endaweni evundlile ukusuka esakhiweni esingamamitha angu-20 ukuphakama. Isivinini sawo sokuqala singama-50 m/s. Bala ukufuduka okuqondile ngemva kokuba umzimba unyakaze umzuzwana owodwa! Ukusheshisa kwamandla adonsela phansi kungu-10 m/s ².

Kwaziwa:

I-engeli ( θ ) = 30 ^o

Ukuphakama kokuqala (h _o ) = amamitha ayi-20

Ijubane lokuqala (v _o ) = 50 m/s

Isikhawu sesikhathi (t) = umzuzwana o-1

Ukusheshisa kwamandla adonsela phansi (g) = 1 0 m/s ²

Okufunwayo: Ukuphakama (h)

Isixazululo:

Ingxenye eqondile yejubane lokuqala:

v _oy = v _o isono θ = (50 m/s)(isono 30 ^o ) = (50 m/s)(0.5) = 25 m/s

Ukuphakama:

Khetha indlela eya phezulu njengeyakhayo kanye nendlela eya phansi njengeyakhayo.

Kwaziwa:

Ijubane lokuqala (v _o ) = 25 m/s (elihle phezulu)

Isikhawu sesikhathi (t) = umzuzwana o-1

Ukusheshisa kwamandla adonsela phansi (g) = -1 0 m/s ² (ukwehla okungekuhle)

Okufunwayo: Ukuphakama (h)

Isixazululo:

h = vot ₊ 1/2 gt ^{​​​​2} = (25)(1) + 1/2 (-10)(1 ² ) = 25 + (-5)(1) = 25 – 5 = amamitha angu-20.

Ukuphakama komzimba ngemva kokuhamba umzuzwana owodwa kungamamitha angama-20 ngaphezu kwalapho umzimba ubekwe khona noma amamitha angama-40 ngaphezu komhlabathi.

3. Ibhola elincane liphakanyiswa ngokuvundlile ngesivinini sokuqala v _o = 10 m/s ukusuka esakhiweni esingamamitha ayi-10 ukuphakama. Bala ukufuduka kwebhola ngemva kokuhamba umzuzwana owodwa ! Ukusheshisa kwamandla adonsela phansi yi-10 m/s ²

Kwaziwa:

Ukuphakama kokuqala (h) = amamitha ayi-10

Ijubane lokuqala (v _o ) = 10 m/s

Isikhawu sesikhathi (t) = umzuzwana o-1

Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s ²

Okufunwayo: Indawo yebhola ngemva kokuhamba umzuzwana owodwa!

Isixazululo:

Ukufuduka okuvundlile:

Kwaziwa:

Ingxenye evundlile yejubane (v _x ) = 10 m/s

Isikhawu sesikhathi (t) = umzuzwana o-1

Okufunwayo: Indawo yento

Isixazululo:

Amamitha ayi-10/umzuzwana kusho ukuthi into ihamba ibanga elingafika kumamitha ayi-10 njalo ngomzuzwana owodwa. Ukufuduka ngemva kokuhamba umzuzwana owodwa kungamamitha ayi-10. Ngakho ukufuduka okuvundlile kungamamitha ayi-10.

Ukufuduka okuqondile:

Kubalwa njengokunyakaza kokuwa okukhululekile.

Kwaziwa:

Isikhawu sesikhathi (t) = umzuzwana o-1

Ukusheshisa kwamandla adonsela phansi (g) = 10 m/s ²

Okufunwayo: Ukuphakama ngemva kokuhamba umzuzwana owodwa (h)

Isixazululo:

h = 1/2 gt ^{​​​​2} = 1/2 (10)(1 ² ) = (5)(1) = amamitha ama-5.

Ngemva komzuzwana owodwa, into iwela amamitha angu-5. Ukuphakama ngaphezu komhlabathi = amamitha ayi-10 - amamitha angu-5 = amamitha angu-5.

Indawo yento ngemva kokuhamba umzuzwana owodwa:

Indawo yento endaweni evundlile (x) = amamitha ayi-10

Indawo yento eqonde ngqo (y) = amamitha angu-5

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1. Xazulula ijubane lokuqala libe izingxenye ezivundlile neziqondile
2. Nquma ukufuduka okuvundlile
3. Nquma ukuphakama okuphezulu
4. Nquma isikhathi esinqunyiwe
5. Nquma indawo yento
6. Nquma ijubane lokugcina