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200×1000(m)
134×60( ) 24.9 m/s
1 km/h 1000(m)
60×60( )
1000
3600 m/s
200×1000(m)
134×60( )
200×1000
134×60
3600
1000 km/h 89.6 km/h
552.6(km)
156( )
447.4(km)
70( )
447.4
70
552.6
156 1.8
(1) 10(m)
3.0( ) 3.3 m/s
(2) 30(m)
2.0( ) 15 m/s
(3) 20(m)
3.0( ) 6.7 m/s
(1) + =
(2) + =
(3) + =
(4) 20 m
4 m/s 5 s
(5) 2 m/s 5 s 10 m
(6)
(6) 20 m
2√3 m/s
10√3
3 s
4 m/s 2 m/s 6 m/s
4 m/s 2 m/s 2 m/s
4 m/s 2 m/s
2√𝟓 m/s
4 m/s
2 m/s
30
4 m/s
2 m/s
2√𝟑 m/s
(1)
20 m/s
(2)
0 m/s
(3)
10 m/s
10 m/s
10 m/s
10 m/s 10 m/s
10 m/s 10 m/s
(4)
(5)
10 m/s 10 m/s
10√2 m/s
10 m/s 20 m/s
( ) 10√5 m/s
10√3 m/s
10 m/s
30
30
60
2
1
√𝟑
𝑥 𝑡 𝑣
10
10 10 5 10 150 m
10 10 m 5 10 m 50 m
50 m
20 s 2.5 m/s
𝑥 𝑡 𝑣
𝑋
𝑇
0 1 2 3 𝑡 (s)
𝑣 (m/s)
10
0 𝑡
𝑣
𝑣 𝑡 𝑎
0 𝑡
𝑎
(1)
20 m/s 10 m/s
10 s 1.0 m/s2
(2) 0 m/s 10 m/s
10 s 1.0 m/s2
1.0 m/s2
(3)
10 √2 m/s2
𝑣 𝑡 10 m/s2
𝑣 𝑡 80 m
10 m/s 10 m/s
10√2 m/s
3.0 15 m
𝑣 𝑡
6.0 1
2 2 4
1
2 4 8 20 m
6.0 1
2 2 4
1
2 4 8 12 m
2.0
0
𝑡 (s)
𝑣 (m/s)
1.0 2.0 3.0
8.0
8.0
0
𝑡 (s)
𝑣 (m/s)
1.0 2.0 3.0 4.0 5.0 6.0
4.0
8.0
0
𝑡 (s)
𝑣 (m/s)
1.0 2.0 3.0 4.0 5.0 6.0
4.0
(1) 𝑣 𝑣0 𝑎𝑡 8.0 2.0 𝑎 2.0
𝑎 3.0 m/s2
𝑥 𝑣0𝑡 1
2 𝑎𝑡2 𝑥 2.0 2.0 +
1
2 3.0 2.02
2.0 𝑥 10 m
(2) 𝑣 𝑣0 𝑎𝑡 10 4.0 2.0 𝑡
𝑡 3.0 s
𝑥 𝑣0𝑡 1
2 𝑎𝑡2 𝑥 4.0 3.0 +
1
2 2.0 3.02
𝑥 21 m
(3) 𝑣 𝑣0 𝑎𝑡 𝑣 2.0 3.0 4.0
4.0 𝑣 14 m/s
𝑥 𝑣0𝑡 1
2 𝑎𝑡2 𝑥 2.0 4.0 +
1
2 3.0 4.02
𝑥 32 m
(4) 𝑣 𝑣0 𝑎𝑡 8.0 𝑣0 2.0 3.0
𝑣0 2.0 m/s
𝑥 𝑣0𝑡 1
2 𝑎𝑡2 𝑥 2.0 3.0 +
1
2 2.0 3.02
3.0 𝑥 15 m
(5) 𝑣2 𝑣02 2𝑎𝑥 102 202 2𝑎 75
𝑎 2.0 m/s2 2.0 m/s2
(6) 𝑥 𝑣0𝑡 1
2 𝑎𝑡2 105 20 3.0 +
1
2 𝑎 3.02
𝑎 10 m/s2
(7) 𝑣2 𝑣02 2𝑎𝑥 𝑣2 5.02 2 2.0 24
𝑣 11 m/s
(8) 𝑣 𝑣0 𝑎𝑡 0 𝑣0 𝑎 4.0
𝑥 𝑣0𝑡 1
2 𝑎𝑡2 60 𝑣0 4.0 +
1
2 𝑎 4.02
𝑣0 30 m/s 𝑎 7.5 m/s2
7.5 m/s2
𝑣 𝑡 𝑎
𝑉−𝑉0
𝑇
𝑎 𝑡
𝑉0 𝑉 𝑉−𝑉0
𝑇 0
𝑥 𝑉0𝑡 1
2
𝑉−𝑉0
𝑇 𝑡2
𝑉−𝑉0
2𝑇 (𝑡
𝑇𝑉0
𝑉−𝑉0 )
2
𝑇𝑉0
2
2(𝑉−𝑉0)
0 𝑡
𝑥
0 𝑡
𝑎
2𝑇𝑉0
𝑉0−𝑉
𝑇𝑉0
2
2(𝑉−𝑉0)
𝑇𝑉0
𝑉0−𝑉
𝑉 − 𝑉0
𝑇
𝑣 𝑡 𝑣
𝐻
1
2 𝑔𝑇2 𝐻
𝑇 √ 2𝐻
𝑔 𝑔𝑇 √2𝑔𝐻
𝑣 𝑡 𝑣
𝐻
𝑉 (𝑉 𝑔𝑇)
2 𝑇 𝐻
0 𝑡
𝑣
𝑇
𝑔𝑇
0 𝑡
𝑣
T
V gT
V
𝑇 −𝑉 √𝑉2 2𝑔𝐻
𝑔 𝑇 0
–𝑉−√𝑉2 2𝑔𝐻
𝑔
𝑉 𝑔𝑇 √𝑉2 2𝑔𝐻
𝑣 𝑡 𝑣
(1) 𝑣 0 𝑇
𝑔 𝑇
𝑉
𝑔
(2) 𝐻 + 𝐻 + 1
2 𝑉𝑇 𝐻 +
𝑉2
2𝑔
(3)
2𝑇 2𝑉
𝑔
0 𝑡
𝑣
𝑇
𝑉
𝑉
2𝑇
(4) 𝐻
𝐻 𝑉𝑇 1
2 𝑔𝑇2
𝑇 𝑉 √𝑉2 2𝑔𝐻
𝑔 𝑇 0
𝑉−√𝑉2 2𝑔𝐻
𝑔
(5) 𝑉 𝑔𝑇 √𝑉2 2𝑔𝐻
√𝑉2 2𝑔𝐻
(1) 𝑣 𝑣0 𝑔𝑡 𝑣 0 9.8 2.0
2.0 𝑣 19.6 m/s
𝑦 𝑣0𝑡 1
2 𝑔𝑡2
𝑦 0 2.0 + 1
2 9.8 2.02
2.0 𝑦 19.6 m
(2) 𝑦 𝑣0𝑡 1
2 𝑔𝑡2
44.1 0 𝑡 + 1
2 9.8 𝑡2
𝑡 3.0 s
(3) 𝑣 𝑣0 𝑔𝑡 𝑣 9.8 9.8 2.0
2.0 𝑣 29.4 m/s
𝑦 𝑣0𝑡 1
2 𝑔𝑡2
𝑦 9.8 2.0 + 1
2 9.8 2.02
2.0 𝑦 39.2 m
(4) 0
𝑣 𝑣0 𝑔𝑡 0 19.6 9.8 𝑡
𝑡 2.0 s
𝑦 𝑣0𝑡 1
2 𝑔𝑡2
𝑦 19.6 2.0 1
2 9.8 2.02
𝑦 19.6 m
0 19.6 𝑡 1
2 9.8 𝑡2
𝑡 4.0 s
A 𝑦𝐴 0 𝑡 1
2 𝑔 𝑡2
B 𝑦𝐵 𝑉0 ( 𝑡 2) 1
2 𝑔(𝑡 − 2)2
B A B A
0 𝑡 1
2 𝑔 𝑡2 𝑉0 ( 𝑡 2)
1
2 𝑔(𝑡 − 2)2
𝑡 2(𝑉0−𝑔)
𝑉0−2𝑔 (s)
𝑡
(1) 2.0 m/s 2.0 s 4.0 m
1
2 9.8 2.02 19.6 m
(2)
(3)
𝑦 𝑣0𝑡 1
2 𝑔𝑡2
78.4 0 𝑡 + 1
2 9.8 𝑡2 𝑣0 0 m/s
𝑡 4.0 s
3.0 m/s 4.0 s 12 m
(4)
1.0
9.8 m/s
19.6 m/s
0 + 9.8 2
19.6 m/s 19.6√𝟐 m/s
4.9 m/s
4.9√3 m/s 4.9 m/s
𝑣0 𝑔𝑡 4.9 9.8 1.0
4.9√3 m/s
9.8 m/s
(1)
1
2 𝑔𝑇2 𝐻 𝑇 √
2𝐻
𝑔
(2) 𝑔𝑇 √2𝑔𝐻
(3) 𝑉𝑇 𝑉√ 2𝐻 𝑔
𝑣 𝑡 𝑣
𝑉
√2𝑔𝐻
0 𝑡
𝑣
𝑇
𝑉 sin 𝜃
𝑉 sin 𝜃
2𝑇
√𝑉2 2𝑔𝐻
(1) 𝑣 0 𝑇
𝑔 𝑇
𝑉sin𝜃
𝑔
(2) 1
2 𝑉 sin 𝜃 𝑇
𝑉2sin2𝜃
2𝑔
(3)
2𝑇 2𝑉sin𝜃
𝑔
(4)
𝑉
(5) 𝑉 cos 𝜃 2𝑇 2𝑉2sin𝜃cos𝜃
𝑔
2𝑉2sin𝜃cos𝜃
𝑔
𝑉2sin2𝜃
𝑔
𝜃 45
𝜃
𝑉
𝑉 sin 𝜃
𝑉 sin 𝜃 𝑉 cos 𝜃
𝑉 cos 𝜃
