The document explains how to calculate and interpret the gradient and area under a graph, particularly focusing on distance-time and speed-time graphs. It illustrates the concepts through a scenario involving a character named Hanif walking to a canteen and back to his office. Key formulas and graphical representations for calculating speed and understanding motion are also included.

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

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

3. Formula to Calculate GradientMethode 1 =Distance (meter)Vertical distanceHorizontal distanceTime (second)

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

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

6. Distance-Time GraphHanif 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 GraphHanif travel from his office to canteenHanif take a break at canteenDistance (meter)Hanif go back to his officeTime (second)

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

9. Speed-Time GraphGradient is positive, it is acceleratingspeed ms-1Horizontal, constant speedNegative gradient, decreasing speedTime (s)

10. Good LuckEnjoy your study