Txheeb xyuas lub sijhawm sib nrug ntawm kev txav mus los ntawm projectile

Tau daws cov teeb meem hauv kev txav mus los ntawm projectile - txiav txim siab lub sijhawm sib nrug

1. Ib lub pob ncaws pob uas raug ncaws tawm hauv av ntawm lub kaum sab xis θ = 30 ^o rau kab rov tav nrog qhov ceev pib ntawm 10 m/s. Xam lub sijhawm kom mus txog qhov siab tshaj plaws! Kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ².

Paub:

Lub kaum sab xis (θ) = 3 0 ^o

Qhov ceev pib ( _v₂o ) = 10 m/s

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 10 m/s ²

Xav tau: Lub sijhawm sib txawv kom mus txog qhov siab tshaj plaws

Tshuaj:

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (10 m/s)(sin 30 ^o ) = (10 m/s)(0.5) = 5 m/s

Lub sijhawm kom mus txog qhov siab tshaj plaws yog txiav txim siab los ntawm cov qauv kev txav ntsug . Xaiv qhov kev taw qhia mus rau sab saud ua qhov zoo thiab qhov kev taw qhia mus rau hauv qab ua qhov tsis zoo.

Paub:

Qhov ceev pib ( _v₂o ) = 5 m/s (mus rau sab saud)

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = - 10 m/s ² (tsis zoo downward)

Qhov ceev kawg ntawm qhov siab tshaj plaws (v _t ) = 0

Xav tau: lub sijhawm sib nrug (t)

Tshuaj:

vt ₌ v0 ₊ gt

0 = 5 + (-10)t

0 = 5 – 10 t

5 = 10 t

t = 5/10 = 0.5 vib nas this

2. Ib lub cev raug nthuav mus rau saum ntuj ntawm lub kaum sab xis 30 ^° rau kab rov tav nrog qhov ceev pib ntawm 30 m/s. Xam lub sijhawm ya! Qhov kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ².

Paub:

Lub kaum sab xis (θ) = 3 0 ^o

Qhov ceev pib ( _v₂o ) = 8 m/s

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 10 m/s ²

Xav tau: Lub sijhawm ua ntej lub cev poob rau hauv av

Tshuaj:

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (8 m/s)(sin 30 ^o ) = (8 m/s)(0.5) = 4 m/s

Peb xub xam lub sijhawm kom mus txog qhov siab tshaj plaws siv cov qauv ntawm kev txav ntsug.

Xaiv qhov kev taw qhia mus rau sab saud ua qhov zoo thiab qhov kev taw qhia mus rau sab hauv ua qhov tsis zoo.

Paub:

Qhov ceev pib ( _v₂o ) = 4 m/s (mus rau sab saud)

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = - 10 m/s ² (tsis zoo downward)

Qhov ceev kawg ntawm qhov siab tshaj plaws (v _t ) = 0

Xav tau: Lub sijhawm luv (t)

Tshuaj:

vt ₌ v0 ₊ gt

0 = 4 + (-10)t

0 = 4 – 10 t

4 = 10 t

t = 4/10 = 0,4 vib nas this

Lub sijhawm luv mus txog qhov siab tshaj plaws yog 0.4 vib nas this.

Lub sijhawm nyob hauv huab cua yog 2 x 0.4 s = 0.8 s.

3. Ib lub cev raug tsa rau saum ntuj ntawm lub kaum sab xis 30 ^° nrog rau kab rov tav ntawm lub tsev siab 10 meters. Nws qhov ceev pib yog 40 m/s. Nws siv sijhawm ntev npaum li cas lub cev thiaj li mus txog hauv av? Kev nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ².

Paub:

Lub kaum sab xis (θ) = 3 0 ^o

Qhov siab pib (h _o ) = 10 meters

Qhov ceev pib ( _v₂o ) = 40 m/s

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 10 m/s ²

Xav tau: Lub sijhawm nyob hauv huab cua (t)

Tshuaj:

Feem ntsug ntawm qhov ceev pib:

v _oy = v _o sin θ = (40 m/s)(sin 30 ^o ) = (40 m/s)(0.5) = 20 m/s

Peb xub xam lub sijhawm kom mus txog qhov siab tshaj plaws siv cov qauv ntawm kev txav ntsug.

Xaiv qhov kev taw qhia mus rau sab saud ua qhov zoo thiab qhov kev taw qhia mus rau sab hauv ua qhov tsis zoo.

Paub:

Qhov ceev pib ( _v₂o ) = 20 m/s (mus rau sab saud)

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = - 10 m/s ² (tsis zoo downward)

Qhov ceev kawg ntawm qhov siab tshaj plaws (v _t ) = 0

Xav tau: Lub sijhawm luv (t)

Tshuaj:

vt ₌ v0 ₊ gt

0 = 20 + (-10)t

0 = 20 – 10 t

20 = 10 t

t = 20/10 = 2 vib nas this

Lub sijhawm nyob hauv huab cua = 2 x 2 vib nas this = 4 vib nas this.

Lub khoom nyob siab 10 meters saum av. 4 vib nas this yog lub sijhawm kom mus txog qhov chaw uas sib luag rau qhov chaw pib. Lub pob tseem txav mus rau hauv qab.

Lub sijhawm kom mus txog hauv av yog xam los ntawm kev siv cov qauv ntawm kev poob dawb.

Paub:

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 10 m/s ²

Qhov siab (h) = 10 meters

Xav tau: Lub sijhawm luv (t)

Tshuaj:

h = 1/2 gt ^{​​​​2}

10 = 1/2 (10) t ²

10 = 5 t ²

t2 = 10/5 = ²

t = √2 = 1.4 vib nas this

Lub sijhawm sib nrug = 1.4 vib nas this.

Tag nrho lub sijhawm sib nrug = 4 vib nas this + 1.4 vib nas this = 5.4 vib nas this.

4. Ib lub pob me me raug tso rau ntawm ib lub tsev siab 5 meters nrog qhov ceev pib v0 ₌ 15 m/s. Xam lub sijhawm nyob hauv huab cua ! Qhov nrawm ntawm lub ntiajteb txawj nqus yog 10 m/s ²

Paub:

Qhov siab (h) = 5 meters

Qhov ceev pib ( _v₂o ) = 15 m/s

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 10 m/s ²

Xav tau: Lub sijhawm nyob hauv huab cua (t)

Tshuaj:

Lub sijhawm nyob hauv huab cua yog suav los ntawm kev siv cov qauv ntawm kev txav mus los ywj pheej.

Paub:

Qhov siab (h) = 5 meters

Kev nrawm ntawm lub ntiajteb txawj nqus (g) = 10 m/s ²

Xav tau: Lub sijhawm luv (t)

Tshuaj:

h = 1/2 gt ^{​​​​2}

5 = 1/2 (10) t ²

5 = 5 t ²

t2 = 5/5 = ¹

t = √1 = 1 vib nas this

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1. Txheeb xyuas qhov ceev pib rau hauv cov khoom kab rov tav thiab ntsug
2. Txheeb xyuas qhov kev hloov pauv kab rov tav
3. Txheeb xyuas qhov siab tshaj plaws
4. Txheeb xyuas lub sijhawm sib nrug
5. Txheeb xyuas qhov chaw ntawm cov khoom
6. Txheeb xyuas qhov ceev kawg