Kuyenda mmwamba ndi pansi mu kugwa kwaulere - mavuto ndi mayankho

Mavuto Othetsedwa mu Kuyenda Kolunjika - Kuyenda mmwamba ndi pansi mu kugwa kwaulere

1. Munthu amaponya mpira mmwamba ndi liwiro loyambirira la 20 m/s. Werengani kutalika kwake. Musanyalanyaze kukana madzi. Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ².

Anakonza

Timagwiritsa ntchito imodzi mwa ma equation a kinematic awa poyenda mothamanga nthawi zonse , monga momwe tawonetsera pansipa.

v _t = vo ₊ pa

s = vot ₊ ½ pa ²

v _t ² = v _o ² + 2 monga

Zodziwika:

Timasankha njira yopita mmwamba ngati yabwino ndipo njira yopita pansi ngati yoipa.

Liwiro loyambirira (v _o ) = 20 m/s (lokwera mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = – 10 m/s ² (yoyipa pansi).

Liwiro lomaliza (v _t ) = 0 (liwiro lake ndi zero nthawi imodzi pamalo okwera kwambiri)

Kufunidwa: Kutalika kwakukulu (h)

Yankho:

v _t ² = v _o ² + 2 gh

0 = (20 ² ) + 2(-10) maola

0 = 400 – 20 maola

400 = maola 20

h = 400 / 20 = 40 / 2 = mamita 20

[irp]

2. Munthu amaponya mwala mmwamba pa liwiro la 20 m/s pamene akuyimirira m'mphepete mwa phiri, kotero kuti mwalawo ukhoza kugwa pansi pa phirilo mamita 100 pansi pake.

(a) Kodi mpirawo umatenga nthawi yayitali bwanji kuti ufike pansi pa phiri (b) Liwiro lomaliza lisanafike mwala wogunda pansi. Kuthamanga chifukwa cha mphamvu yokoka (g) = 10 m/s ² . Musanyalanyaze kukana madzi.

Zodziwika:

Timasankha njira yopita mmwamba ngati yabwino ndipo njira yopita pansi ngati yoipa.

Kutalika (h) = -100 mamita (kuchepa chifukwa malo omaliza ali pansi pa malo oyamba)

Liwiro loyambirira (v _o ) = 20 m/s (lokwera mmwamba)

Kuthamanga kwa mphamvu yokoka (g) = -10 m/s ² (yoyipa pansi)

Akufuna:

(a) Nthawi yomwe ili mlengalenga kapena nthawi yomwe ili pakati (t)

(b) Liwiro lomaliza (v _t )

Yankho:

(a) Nthawi yopuma (t)

Zodziwika:

Kutalika (h) = -100 mamita (kuchepa chifukwa malo omaliza ali pansi pa malo oyamba)

Liwiro loyambirira (v _o ) = 20 m/s (zabwino mmwamba), Kuthamanga kwa mphamvu yokoka (g) = -10 m/s ² (zoipa pansi).

h = vot ₊ ½ gt ²

-100 = (20) t + ½ (-10) t ²

-100 = 20 t – 5 t ²

-5 t ² + 20 t + 100 = 0

Timagwiritsa ntchito njira ya quadratic:

(b) Liwiro lomaliza

v _t ² = v _o ² + 2 gh

v _t ² = (20 ² ) + 2 (-10)(-100)

v _t ² = 400 + 2000

v _t ² = 2400

v _t = 49 m/s

[irp]

[wpdm_package id='515′]

[wpdm_package id='517′]

1. Mtunda ndi kusamuka
2. Liwiro lapakati ndi liwiro lapakati
3. Liwiro lokhazikika
4. Kuthamanga kosalekeza
5. Kuyenda kwaulere kwa kugwa
6. Kuyenda pansi mu kugwa kwaulere
7. Kuyenda mmwamba ndi pansi mu kugwa kwaulere