6.1 Quantity Represented by the Gradient of a Graph (Part 1)

6.1 Quantity Represented by the Gradient of a Graph
The gradient of graph is the rate of change of a quantity on the vertical axis with respect to the change of another quantity on the horizontal axis.
 
(A) Distance – Time Graph
1. The gradient of a distance-time graph is speed.

2. 
(a) From O to P: Gradient = positive
(b) From P to Q: Gradient = 0 → (The object stopped moving)
(c) From Q to R: Gradient = negative → (The object is travelling in an opposite direction from the original direction).

3.




Example 1:

The diagram above shows a graph of distance-time for the motion of a car. Find the speed of the car for the first 6 second.

Solution:
The speed of the car for the first 6 seconds
= Gradient 
= 12 0 6 0 = 2.0 ms 1

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