Ch 1 Distance Displacement Tai Wai Station distance
- Slides: 49
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 = 12 + 98 + 70 = 180 m 3
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
N 40° Direction = ? 6
N 50 ° 40° Direction = E 50° 7
N 60° Direction = ? 8
N 90° + 60° = 150° 60° E S Direction = 150° 9
N 40° Direction = ? 10
N 90° + 50° = 230 ° W 40° 50° Direction = 230 S ° 11
N 40° Direction = ? 12
N 40° W 270° + 50° = 320° Direction = 320° 13
Class Exercise 1. 2 Magnitude of displacement = ? Direction of displacement = ? 14
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) 6 m East (90°) 6 m East 17
Class Exercise 1. 3 (c) & (d) 18
Class Exercise 1. 3 (c) & (d) 6 m East 19
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 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 = ? Direction = ? 22
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 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 = ? 3. 2 cm 25
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. 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) 29
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 m direction of the total displacement = 180° + 45° = 225° 31
Class Exercise 1. 6 (a) 32
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 18 m East 35
Class Exercise 1. 6 (b) 36
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) 8 m (East) 39
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 distance = 3 + 4 = 7 m 42
Class Exercise 1. 7 43
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° P 46
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. 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 (p. 1 -5) 2. Deadline: 2011 - - ____ 49
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