Distance/Speed Time Graphs

They can be used to calculate the speed of a moving object by working out the gradient
The steeper the line the faster the speed, if the line is not straight that means the speed is changing
Gradient = change in y / change in x
To work out the gradient between points A and B you have to:
- work out the change in y (2 - 0) and the change in x ( 20 - 0)
- then divide the two 2-0 / 20-0 = 2/20 = 1/10 = 0.1
- 0.1 would be the gradient for between points A and B meaning that was the objects speed (0.1m/s)

A speed - time graph can be used for calculating the acceleration of a moving object by calculating the gradient
It can also work out the distance travelled by working out the area underneath the graph
To work out the acceleration of A you would have to:
- work out the change in y (15 -0 ) and the change in x ( 10 - 0)
- then divide 15-0/10-0 = 15/10 = 3/2 = 1.5
- The gradient of A would be 1.5 meaning the acceleration is 1.5 m/s ^ 2
To work out the distance the travelled in 10 seconds you would have to:
- do base x height ( 10 x 15)
- then divide it by 2 ( 150 / 2 = 75)
- 75m would be how much they travelled