Ch 1 Distance Displacement Tai Wai Station distance

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Ch. 1 Distance (距離) & Displacement (位移) Tai Wai Station distance 4. 4 km

Ch. 1 Distance (距離) & Displacement (位移) Tai Wai Station distance 4. 4 km displacement 4 km to the north Kowloon Tong Station 1

Class Exercise 1. 1 Distance travelled = ? 2

Class Exercise 1. 1 Distance travelled = ? 2

Class Exercise 1. 1 Distance travelled = 12 + 98 + 70 = 180

Class Exercise 1. 1 Distance travelled = 12 + 98 + 70 = 180 m 3

Displacement (位移) = change in position The change in position is a straight line

Displacement (位移) = change in position The change in position is a straight line joining the start position (起點) and the end position (終點). Magnitude (量值): Length of the straight line joining the start position and the end position. Direction (方向): Direction of the straight line from the start position to the end position. 4

North (北 ) West (西) East (東) South (南 ) 5

North (北 ) West (西) East (東) South (南 ) 5

N 40° Direction = ? 6

N 40° Direction = ? 6

N 50 ° 40° Direction = E 50° 7

N 50 ° 40° Direction = E 50° 7

N 60° Direction = ? 8

N 60° Direction = ? 8

N 90° + 60° = 150° 60° E S Direction = 150° 9

N 90° + 60° = 150° 60° E S Direction = 150° 9

N 40° Direction = ? 10

N 40° Direction = ? 10

N 90° + 50° = 230 ° W 40° 50° Direction = 230 S

N 90° + 50° = 230 ° W 40° 50° Direction = 230 S ° 11

N 40° Direction = ? 12

N 40° Direction = ? 12

N 40° W 270° + 50° = 320° Direction = 320° 13

N 40° W 270° + 50° = 320° Direction = 320° 13

Class Exercise 1. 2 Magnitude of displacement = ? Direction of displacement = ?

Class Exercise 1. 2 Magnitude of displacement = ? Direction of displacement = ? 14

Class Exercise 1. 2 Magnitude of displacement = Direction of displacement = 128 m

Class Exercise 1. 2 Magnitude of displacement = Direction of displacement = 128 m 180º + 40° = 220° 15

Class Exercise 1. 3 (a) & (b) 16

Class Exercise 1. 3 (a) & (b) 16

Class Exercise 1. 3 (a) & (b) 6 m East (90°) 6 m East

Class Exercise 1. 3 (a) & (b) 6 m East (90°) 6 m East 17

Class Exercise 1. 3 (c) & (d) 18

Class Exercise 1. 3 (c) & (d) 18

Class Exercise 1. 3 (c) & (d) 6 m East 19

Class Exercise 1. 3 (c) & (d) 6 m East 19

If the starting position and the end position are the same, the displacement is

If the starting position and the end position are the same, the displacement is the same. Note: 20

Class Exercise 1. 4 (a) You walk from LPSMC to the Entrance C of

Class Exercise 1. 4 (a) You walk from LPSMC to the Entrance C of the Tsuen Wan MTR station. Find the magnitude and direction of your displacement. 21

Class Exercise 1. 4 (a) 6. 2 cm 3. 2 cm Magnitude = ?

Class Exercise 1. 4 (a) 6. 2 cm 3. 2 cm Magnitude = ? Direction = ? 22

Class Exercise 1. 4 (a) 6. 2 cm 78° 3. 2 cm Magnitude =

Class Exercise 1. 4 (a) 6. 2 cm 78° 3. 2 cm Magnitude = (6. 2 ÷ 3. 2 ) × 100 = 194 m Direction = 180° + 77° = 257° (S 77 W) 23

Class Exercise 1. 4 (b) You meet your friend, Tommy, at Entrance C. He

Class Exercise 1. 4 (b) You meet your friend, Tommy, at Entrance C. He is going to the YMCA in Luk Yeung Sun Chuen. What is his displacement from Entrance C to the YMCA? 24

Class Exercise 1. 4 (b) 3. 7 cm Magnitude = ? Direction = ?

Class Exercise 1. 4 (b) 3. 7 cm Magnitude = ? Direction = ? 3. 2 cm 25

Class Exercise 1. 4 (b) 3. 7 cm 50° Magnitude = (3. 7 ÷

Class Exercise 1. 4 (b) 3. 7 cm 50° Magnitude = (3. 7 ÷ 3. 2 ) × 100 = 116 m Direction = 50° (N 50 E) 3. 2 cm 26

Class Exercise 1. 5 Mr. Chan walks 3 m from A to the East.

Class Exercise 1. 5 Mr. Chan walks 3 m from A to the East. He turns 90 and walks 6 m to the South. Finally he walks a further distance of 9 m to the West. (a) In the space below, draw arrows to represent these displacements. (Use 1 cm to represent 1 m. ) 27

Class Exercise 1. 5 (a) 28

Class Exercise 1. 5 (a) 28

Class Exercise 1. 5 (a) 29

Class Exercise 1. 5 (a) 29

Class Exercise 1. 5 (b) direction and magnitude of the total displacement = ?

Class Exercise 1. 5 (b) direction and magnitude of the total displacement = ? 30

Class Exercise 1. 5 (b) 45° magnitude of the total displacement = 8. 5

Class Exercise 1. 5 (b) 45° magnitude of the total displacement = 8. 5 m direction of the total displacement = 180° + 45° = 225° 31

Class Exercise 1. 6 (a) 32

Class Exercise 1. 6 (a) 32

Class Exercise 1. 6 (a) 12 m East 33

Class Exercise 1. 6 (a) 12 m East 33

Class Exercise 1. 6 (a) 12 m East 6 m East 34

Class Exercise 1. 6 (a) 12 m East 6 m East 34

Class Exercise 1. 6 (a) 12 m East 6 m East 18 m East

Class Exercise 1. 6 (a) 12 m East 6 m East 18 m East 35

Class Exercise 1. 6 (b) 36

Class Exercise 1. 6 (b) 36

Class Exercise 1. 6 (b) S 37

Class Exercise 1. 6 (b) S 37

Class Exercise 1. 6 (b) S -10 m or 10 m (West) 38

Class Exercise 1. 6 (b) S -10 m or 10 m (West) 38

Class Exercise 1. 6 (b) S -10 m or 10 m (West) 8 m

Class Exercise 1. 6 (b) S -10 m or 10 m (West) 8 m (East) 39

Class Exercise 1. 6 (b) S -10 m or 10 m (West) 8 m

Class Exercise 1. 6 (b) S -10 m or 10 m (West) 8 m (East) 28 m 40

Class Exercise 1. 7 41

Class Exercise 1. 7 41

Class Exercise 1. 7 distance = 3 + 4 = 7 m 42

Class Exercise 1. 7 distance = 3 + 4 = 7 m 42

Class Exercise 1. 7 43

Class Exercise 1. 7 43

Class Exercise 1. 7 53° magnitude = m direction = 90° + 37° =

Class Exercise 1. 7 53° magnitude = m direction = 90° + 37° = 127° (S 53 E) 44

Class Exercise 1. 7 62° 45

Class Exercise 1. 7 62° 45

Class Exercise 1. 7 62° P 46

Class Exercise 1. 7 62° P 46

Class Exercise 1. 7 62° P -4. 0 m or 4. 0 m (West)

Class Exercise 1. 7 62° P -4. 0 m or 4. 0 m (West) 3. 0 m (South) 47

1. 3 Scalar and Vector Scalar (無向量) Vector (向量/矢量 ) has magnitude (量值) only.

1. 3 Scalar and Vector Scalar (無向量) Vector (向量/矢量 ) has magnitude (量值) only. has both magnitude and direction. Example: • distance (距離) • time (時間) • temperature (溫度) • speed (速率) • …… Example: • displacement (位移) • velocity (速度) • acceleration (加速度) • force (力) • …… 48

Homework: Assignment Book 1. Chapter 1: Distance & Displacement Q. 1 – Q. 6

Homework: Assignment Book 1. Chapter 1: Distance & Displacement Q. 1 – Q. 6 (p. 1 -5) 2. Deadline: 2011 - - ____ 49