# Calculations from Motion Graphs Distance-time graphs The gradient of a distance-time graph is the speed We should already know how to calculate gradients:

## Presentation on theme: "Calculations from Motion Graphs Distance-time graphs The gradient of a distance-time graph is the speed We should already know how to calculate gradients:"— Presentation transcript:

Calculations from Motion Graphs Distance-time graphs The gradient of a distance-time graph is the speed We should already know how to calculate gradients: Learn this! or

A cyclist’s position is noted at various times along his journey. Plot a distance time graph of the cyclist’s journey. Time (s)Distance (m) 00 1075 20150 30225 50300 70375 90450

You will see that the cyclist moved at two distinct speeds. Use two straight lines of fit to show this. Now complete the calculations, showing all your working 1.Find the gradient and hence the cyclist’s speed during the first part of the journey. 2.Find the gradient, and hence the cyclist’s speed during the second part of the journey. 3.Calculate the cyclist’s average speed, either by finding a gradient or otherwise.