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