Matsalolin da aka Warware a Motsin Layi - Saurin da ba a Taɓa Yi Ba
1. Mota tana tafiya a daidai lokacin da take tafiya da mita 10/s. Kayyade nisa bayan daƙiƙa 10 da daƙiƙa 60.
Magani
Gudun da ba ya canzawa mita 10/daƙiƙa yana nufin mota tana tafiya mita 10 a kowace daƙiƙa 1.
Bayan daƙiƙa 2, motar ta yi tafiyar mita 20,
Bayan daƙiƙa 5, motar ta yi tafiyar mita 50,
Bayan daƙiƙa 10, motar ta yi tafiyar mita 100 ,
Bayan daƙiƙa 60, motar ta yi tafiyar mita 600.
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2. Mota tana tafiya a kan hanya madaidaiciya a gudun kilomita 72/h. Kayyade nisan motar bayan mintuna 2 da mintuna 5.
Magani
72 km/h = (72)(mita 1000) / daƙiƙa 3600 = 72,000 / daƙiƙa 3600 = mita 20/daƙiƙa.
Gudun da ake samu a mita 20/daƙiƙa yana nufin motar tana tafiya mita 20 a kowace daƙiƙa 1.
Bayan daƙiƙa 120 ko mintuna 2, mota tana tafiya mita 20 x 120 = mita 2400 ,
Bayan daƙiƙa 300 ko mintuna 5, motar tana tafiya mita 20 x 300 = mita 6000.
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3. Jiki yana tafiya a kan hanya madaidaiciya na tsawon mita 100 cikin daƙiƙa 50. Kayyade saurin jiki.
Magani
Mita 100 / daƙiƙa 50 = mita 10 / daƙiƙa 5 = mita 2/daƙiƙa.
4. Kayyade gudu bisa ga zane da ke ƙasa….
Magani
Sauri = Nisa / lokaci ya wuce
Gudu = mita 2 / daƙiƙa 1 = mita 4 / daƙiƙa 2 = mita 6 / daƙiƙa 3 = mita 8 / daƙiƙa 4 = mita 2/daƙiƙa.
5. Motoci A da B suna kusantar juna a kan layukan layi daya. Idan nisan da ke tsakanin motocin biyu ya kai mita 100, mota A tana tafiya da sauri na mita 10/s, mota B tana tafiya da sauri na mita 40/s. Kayyade (a) nisan mota A kafin ta wuce mota B (b) tazara ta lokaci kafin motar B ta wuce mota A.
Magani
Mota A tana tafiya da gudu mai tsayi a mita 10/daƙiƙa, ma'ana motar A tana tafiya har zuwa mita 10 a kowace daƙiƙa 1. Bayan daƙiƙa 2, mota tana tafiya har zuwa mita 20.
Motar B tana tafiya da gudu mai tsayi a mita 40/daƙiƙa, ma'ana motar B tana tafiya har zuwa mita 40 a kowace daƙiƙa 1. Bayan daƙiƙa 2, motar B tana tafiya har zuwa mita 80.
Mita 20 + mita 80 = mita 100.
(a) Nisa tsakanin mota A da mota B shine mita 20. Nisa tsakanin mota B da mota A shine mita 80.
(b) Tazarar lokacin da mota B ke yi kafin wucewar mota A shine daƙiƙa 2. Tazarar lokacin da mota A ke yi kafin wucewar mota B shine daƙiƙa 2
5. Idan ma'aunin gudu na mota ya nuna kilomita 108/h, a ƙayyade nisan da mota ta yi a cikin minti ɗaya.
Magani:
Na'urar auna gudu kayan aiki ne don auna gudu. Gudun mota shine kilomita 108/awa.
108 km / h = (108) (mita 1000) / daƙiƙa 3600 = mita 30/daƙiƙa.
Minti 1 = daƙiƙa 60
Gudun motar mita 30/daƙiƙa yana nufin motar tana tafiya har zuwa mita 30 cikin daƙiƙa 1.
Bayan daƙiƙa 1, motar ta yi tafiya har zuwa mita 1 x 30 = mita 30.
Bayan daƙiƙa 2, motar ta yi tafiya har zuwa mita 2 x 30 = mita 60.
Bayan daƙiƙa 60, motar ta yi tafiya har zuwa mita 60 x 30 = mita 1800.
6. Tom ya jefa kwallo kai tsaye ga Andrew . Tom da Andrew sun rabu har zuwa mita 10.08 . An jefa kwallon a kwance kuma tana motsawa a mita 20/ s (yi watsi da nauyi). Andrew ya buga kwallon da dakika 4.00 x 10 -3 bayan an jefa kwallon. Idan mai bugawa ya motsa a gudun mita 5.00/s, mai bugawa zai buga kwallon bayan mai bugawa ya motsa har zuwa…
An sani:
Nisa tsakanin Tom da Andrew = mita 10.08
Saurin ƙwallon (v) = 20 m/s
Tazarar lokaci (t) = daƙiƙa 4 x 10 -3 = daƙiƙa 0.004
Gudun mai bugawa (v) = 5 m / s
SE busca: Mai bugun ya buge ƙwallon bayan ƙwallon ta yi nisa har zuwa…
Magani:
Nisa tsakanin ƙwallon:
s 1 = vt = (20) (0.004) = mita 0.08
Nisa tsakanin mai bugawa:
s 2 = vt = 5 t
Nisan Ball + nisan mai bugawa = nisan da ke tsakanin Tom da Andrew.
0.08 + 5 t = 10.08
5 t = 10.08 – 0.08
5 t = 10
t = 10 / 5
t = daƙiƙa 2
Nisa tsakanin mai bugawa:
s 2 = vt = 5 t = (5) (2) = mita 10
7. Wani mafarauci da motarsa yana bin barewa. Motar tana tafiya a gudun kilomita 72 a sa'a guda, barewa kuma tana gudu a gudun kilomita 64.8 a sa'a guda. Idan nisan da ke tsakanin motar da barewa ya kai mita 2012, mafarauci ya harba bindigarsa. Harsasai daga bindigar a gudun mita 200 a sa'a guda. A tantance tazarar lokacin da barewa za ta harba.
A. 0.5 s
B. 1 s
C. 1.25 s
D. 1.5 s
An sani:
Gudun mota (v b ) = 72 km/h = (72)(1000 m) / 3600 s = 20 m/s
Gudun barewa (v r ) = 64.8 km/h = (64.8)(m 1000) / 3600 s = 64800 m / 3600 s = 18 m/s
Idan aka harba harsashin, nisan da ke tsakanin motar da barewa = mita 202
Gudun wuta (v p ) = 20 m/s + 200 m/s = 220 m/s
Makamai da mafarauta ke riƙewa waɗanda ke cikin mota mai gudun mita 20/s don haka saurin motar ma ya ƙara da saurin harsashin.
Ana so: A ƙayyade tazarar lokacin da barewa za ta yi harbi
Magani:
Ka yi tunanin motoci da barewa suna tafiya a hankali.
Daidaito: v = s / t ko s = vt
v = gudu, s = nisa, t = tazara lokaci
Nisa = 202 + X r = 202 + v r t = 202 + 18 t
Nisa = Y p = v p t = 220 t
Nisa da barewa ta yi = nisan da harsashi ya yi
202 + 18 t = 220 t
202 = 220 t – 18 t
202 = 202t
t = 202 / 202
t = daƙiƙa 1
Amsar da ta dace ita ce B.
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