The document discusses quantities represented by gradients and areas under graphs. The gradient of a distance-time graph represents speed, as it is the rate of change of distance with respect to time. The area under a speed-time graph represents distance, as area is the product of speed (y-axis) and time (x-axis). An example distance-time graph is given to illustrate a scenario of traveling between locations over time.

1. 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
Horizontal, constant speed Negative gradient, decreasing speed
speed ms-1
Time (s)

10. Enjoy your study