Mathematics form 5 chapter 6 Gradient and area under a graph Quantity represented by the gradient of the graph Quantity represented by the area under a graph

1. Gradient & Area Under a Graph Quantity Represented by the Gradient of a Graph Quantity Represented by the Area Under a Graph

2. Quantity Represented by the Gradient of a Graph Rate of change of the quantity on vertical axis with respect to the quantity on the horizontal axis Distance (meter) Time (second)

3. Formula to Calculate Gradient Methode 1 = Distance (meter) Vertical distance Horizontal distance Time (second)

4. Formula to Calculate Gradient Method 2 = Distance (meter) Q (x2,y2) P (x1,y1) Time (second)

5. Calculating the Speed from the Distance-Time Graph When the gradient of a distance-time graph calculated, You are calculating the speed gradient of a distance-time graph = speed

6. Distance-Time Graph Hanif walk from his office to canteen for some refreshment. After finish his drink, he get back to his office to continue his work. The distance-time graph can be draw according to the story

7. Distance-Time Graph Hanif travel from his office to canteen Hanif take a break at canteen Distance (meter) Hanif go back to his office Time (second)

8. Quantity Represented by the Area Under a Graph Area under a graph is the product of quantity in Y-axis with X-axis. Area under a speed-time graph = distance

9. Speed-Time Graph Gradient is positive, it is accelerating speed ms-1 Horizontal, constant speed Negative gradient, decreasing speed Time (s)

10. Good Luck Enjoy your study