-
ๆ
ๆฅ
/ 17
Tombow PE-OTA
ONOW
41570
a=9.8m/sยฒ
8 ่ช็ฑ่ฝไธใจ้็ดๆๅฐ
โโ่ฆ้
โโโโ
่ช็ฑ่ฝไธ
00m/s
(-9)
(1)~(5)
=2gy
้็ดๆใไธใใ(6)~(8)
่ช็ฑ่ฝไธ
=+at
gt
[m/s]
10=+at !
้็ดๆใไธใใ
gt
ยฆยฒ-6ยฒ=2ax
yOt(s)
[m/s] af y = bolt of
ยฒ-0ยฒ=2ax
--2gy
y (m) (m/s)
ag,xy.โ0ใจ็ฝฎใใใใ
g,xyใจ็ฝฎใใใใ
ๆฌกใฎๅใใซ็ญใใใ ใใ ใ, ้็ดไธๅใใๆญฃใฎๅใใจใใ ้ๅๅ ้ๅบฆใฎ
y
โt [s] ๅพ
y [m] to [m/s])
1 ่ช็ฑ่ฝไธใจ้็ดๆใไธใใ
ๅคงใใใ 9.8m/s ใจใใใ
ไพ้ก ้ซใ360mใฎ็นใใ็ฉไฝใ่ช็ฑ่ฝไธใ
ใใใๅฐ้ขใซๅฝใใ็ดๅใฎ้ๅบฆ [m/s]
ใๆฑใใใ
(4) ้ซใ 490mใฎ็นใใ็ฉไฝใ่ช็ฑ่ฝไธใใใใ ๅฐ
้ขใซๅฐ้ใใใพใงใซใใใๆ้ [s] ใๆฑใใใ
4g
400===10
้็ดๆใไธใๅณ
[y [m]
f [s]ๅพ
(m/s)
y.
10-stat
0ยฒ--2ax
้็ดๆใไธใ
(--gt
a-g.xyใจ็ฝฎใใใใ
(2) ใใซใฎๅฑไธใฎ็นPใใๅ้ๅบฆ 29.4m/sใง้็ดไธ
ๅใใซ็ฉไฝใๆๅฐใใใ
(a) ๆๅฐใใฆใใ2.0็งๅพใฎ้ๅบฆใจ็นPใใใฎ
้ซใ ใmใ ใๆฑใใใ
=24.4ร2+4
52.8
19,6
v, [m/s]
00
2 ้็ดๆใไธใ ๆฌกใฎๅใใซ็ญใใใ ้ๅๅ ้
ๅบฆใฎๅคงใใใ 9.8m/s ใจใใใ
ไพ้ก ใใซใฎๅฑไธใฎ็นPใใๅ้ๅบฆ 4.9m/s ใง
้็ดไธๅใใซ็ฉไฝใๆๅฐใใใ
ๆ้ซ็น
(b) ๆๅฐใใฆใใ3.0็งๅพใซๅฐ้ข
ใซ้ใใใจใใใจใ็นPใฎๅฐ
ไธใใใฎ้ซใใ[m] ใๆฑใใใ
14.9m/s
Po
3.0็งๅพ
(a) ๆๅฐใใฆใใๆ้ซ็นใซ้ใใ
ใพใงใฎๆ้ [s] ใๆฑใใใ
V=294-9842
้ๅบฆ
9.8mm
39m
้ซใ
(b) ๆๅฐใใฆใใๆ้ซ็นใซ้ใใใพใงใฎๆ้[s]
ใๆฑใใใ
6:294-98+
9.8
+9
196
่งฃ vo=0m/sa=g, y=360m
22gy ใใ
v=v2gy=v2ร9.8ร360
=84m/s
9.8ร5=49=7
ใใใไฝฟใใจ, ้ใๆญฃ็ขบใซ่จ็ฎ
ใงใใพใใ 360=5ร6ร2 ใงใใใ
=โ 2ร9.8ร(5ร62ร2)
=โ2ยฐร62ร7=2ร6ร7=84m/s
105
205
(3) ใใซใฎๅฑไธใฎ็นPใใๅ้ๅบฆ 9.8m/s ใง้็ดไธ
ๅใใซ็ฉไฝใๆๅฐใใใ
360
y[m]
(5) ็นPใใ่ช็ฑ่ฝไธใใ็ฉไฝใ็ไธใฎ็นQใ
19.6m/sใฎ้ใใง้้ใใใ PQ้ใ่ฝไธใใใฎ
ใซใใใฃใๆ้ [s] ใๆฑใใใ
196
95
่งฃ (a) ๆ้ซ็นใงใฏ้ๅบฆใ0m/sใงใใใฎใง
v=vo-gt 0=4.9-9.8Xt
ใใฃใฆ t=0.50s
(a) ๆๅฐใใฆใใๆ้ซ็นใซ้ใใใพใงใฎๆ้ [s]
ใๆฑใใใ
196=9814
9.8
+
965
(b)y่ปธใ้็ดไธๅใใซใจใใ็นPใy่ปธใฎๅ
็นใจใใใ 3.0 ็งๅพใฎ็ฉไฝใฎyๅบงๆจใฎ็ตถๅฏพๅค
ใใ็นPใฎๅฐไธใใใฎ้ซใใจใชใใ
(6) ็ฉไฝใ้็ดไธๅใใซ้ใ15m/s ใงๆๅฐใใใ 6.0
็งๅพใฎ็ฉไฝใฎ้ๅบฆ [m/s] ใๆฑใใใ
y=vof-
vot-gtยฒ=
gt2=4.9ร3.0-123ร9.8ร3.02
95
=29.4โ-29m
V=1449.8ร6
55@g
07.8m/s
+15
ใใฃใฆ k=29m
(1) ใใซใฎๅฑไธใฎ็นPใใๅ้ๅบฆ 19.6m/sใง้็ดไธ
ๅใใซ็ฉไฝใๆๅฐใใใ
(a) ๆๅฐใใฆใใๆ้ซ็นใซ้ใใใพใงใฎๆ้ [s]
ใๆฑใใใ
6:98-9.84
(b) ๆ้ซ็นใฎ็นPใใใฎ้ซใใ ใm] ใๆฑใใใ
=9.8ร119821
149
4.9m
(c) ๆๅฐใใฆใใ, ๅใณ็นPใซใใฉใใพใงใฎๆ้
ใSใ ใๆฑใใใ
(1)้ซใ10mใฎ็นใใ็ฉไฝใ่ช็ฑ่ฝไธใใใใๅฐ้ข
ใซๅฝใใ็ดๅใฎ้ๅบฆ [m/s] ใๆฑใใใ
V = 2+9.8+10
ใฌใณ 196
โ714
14m19
(2)็นPใใ็ฉไฝใ่ช็ฑ่ฝไธใใใใจใใ, 3.0็ง
ๅพใซๅฐ้ขใซ้ใใใ ็นPใฎ้ซใ [m] ใๆฑใใใ
1989~
1445
4411
(3) ่ช็ฑ่ฝไธใๅงใใฆใใ 5.0็งๅพใฎ็ฉไฝใฎ้ๅบฆ
9g [m/s] ใๆฑใใใ
V=9845
49
16i
49m19
(7) ็ฉไฝใ้็ดไธๅใใซ้ใ7.0m/sใงๆๅฐใใใ
20m่ฝไธใใไฝ็ฝฎใงใฎ็ฉไฝใฎ้ๅบฆ [m/s] ใๆฑใ
5-49=2ร98/20
21114
98
120
86
(8) ็นPใใ็ฉไฝใ้็ดไธๅใใซ้ใ12m/s ใงๆๅฐ
ใใใจใใ,2.0็งๅพใซๅฐ้ขใซ้ใใใ ็นPใฎ้ซ +49
ใใ ใmใใๆฑใใใ
198
155
49.6m
1=12ร2+1/4
24+
6=19.6-98+
954
(b) ๆๅฐใใฆใใ6.0็งๅพใซๅฐ้ขใซ้ใใใจใใฆ,
็นPใฎๅฐไธใใใฎ้ซใใ ใmใ ใๆฑใใใ
114546-1ร90ร368
117,6
176.4
25
(d) ๆๅฐใใฆใใ4.0็งๅพใซๅฐ้ขใซ้ใใใจใใฆ,
็นPใฎๅฐไธใใใฎ้ซใใ ใmใ ใๆฑใใใ
729844-49.8.16
392-78-4
59m
392m