Ì¢ì ÛzÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • yzn:çíʨxz*ín •...
TRANSCRIPT
![Page 1: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/1.jpg)
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![Page 2: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/2.jpg)
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![Page 3: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/3.jpg)
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![Page 4: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/4.jpg)
•
• v-t
x-t v t
4
![Page 5: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/5.jpg)
• t=0[s] +12[m/s]t=8.0[s] -4.0[m/s]
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5
v�
t�
12�
O�8.0�
-4.0�
12:4
t=6.0
![Page 6: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/6.jpg)
•
• v-t
t
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6
v = v0 + at
x = v0t +12at2
v2 − v02 = 2ax
![Page 7: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/7.jpg)
• 0 v0 t v
v=
7
a = v− v0t
![Page 8: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/8.jpg)
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8
v = v0 + at
t�
v�
O
v0
v0+at
t
x = 12t × v0 + v0 + at( ){ }
∴x = v0t +12at2
![Page 9: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/9.jpg)
• t =
• 2a
9
t = v− v0a
x = v0 ×v− v0a
⎛
⎝⎜
⎞
⎠⎟+12a v− v0
a⎛
⎝⎜
⎞
⎠⎟2
x = v0v− v02
a+v2 − 2vv0 + v0
2
2a
![Page 10: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/10.jpg)
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v = v0 + at
x = v0t +12at2
v2 − v02 = 2ax
![Page 11: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/11.jpg)
• y
•
•
• g
11
v = g t
y = 12g t2
t=0
y�
y=0
y t
v�
gggg�
![Page 12: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/12.jpg)
• y
•
• 0
• g
12
v = v0 + g t
y = v0t +12g t2
t=0
y�
y=0
y t
v�
gggg�v0
![Page 13: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/13.jpg)
• y
•
• 0
• -g
13
v = v0 − g t
y = v0t −12g t2t=0
y�
y=0
yt
v�ggg-g�
v0
![Page 14: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/14.jpg)
•
• y
14
y�
y=0
v0
y<0
![Page 15: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/15.jpg)
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![Page 16: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/16.jpg)
• x y
• x
• y
16
y�
x�t=0
v0
y
x�
vx
vy
![Page 17: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/17.jpg)
• x y
•
• x
• y
17
x�
y�
v0
v0cos
v0sin
![Page 18: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/18.jpg)
• 9.8m/s2
1049
• 98 49 98147 196 225
18
−14.7 = 9.8t − 12×9.8× t2
−147 = 98t − 12×98× t2
−3= 2t − 12×2× t2
![Page 19: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/19.jpg)
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![Page 20: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/20.jpg)
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t
t
x t( ) = v0t +12at2 v t( ) = v0 + at
![Page 21: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/21.jpg)
• Web
•
•
21
![Page 22: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/22.jpg)
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H30
![Page 23: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/23.jpg)
23
mg − kx − N = 0
∴x = mg + Nk
x = mgk
N = 0
![Page 24: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/24.jpg)
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H28
![Page 25: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/25.jpg)
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0 = v0 sinθt −12g t2
t g t - 2v0 sinθ( ) = 0
∴t = 0, 2v0 sinθg
•
• •
•
2v0 sinθg
![Page 26: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/26.jpg)
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•
0 = v0 sin60°T1 −12gT1
2
0 = v0 sin30°T2 −12gT2
2
∴T1 =3v0g
> T2 =v0g
![Page 27: Ì¢ì ÛZÍì4577,c...1 2 gt2 t(gt-2v 0 sin θ)=0 ∴t=0, 2v 0 sinθ g • YZN:çíʨxZ*íN • 0²ìCcí ¾¹ • ? ì ë÷ù0²ë Ýú\ªíÊÇ Ç 5ÔÎâóÊÄÂÃÆì í](https://reader035.vdocuments.mx/reader035/viewer/2022071515/613801d80ad5d2067648fe5d/html5/thumbnails/27.jpg)
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