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Learn how to plot distance against time graphs and interpret the movement of objects or people. Understand the significance of slope and speed changes. Practice calculating speed from graphs in this helpful PowerPoint guide.
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Directions This is a practice PowerPoint with definitions AND practice. On a separate paper write down all important definitions with sketches when helpful. Also include work for all calculation pages.
Distance Time Graphs • Describing a journey made by an object or person can be done by plotting distance against time. You can tell you a lot about a journey! Let's look at the axes: • Time always runs horizontally (the x-axis). The arrow shows the direction of time. The further to the right, the longer time from the start. • Distance runs vertically (the y-axis). The higher up the graph we go, the further we are from the start.
Not moving? This is what it looks like… If something is not moving, a horizontal line is drawn on a distance-time graph. • Time is increasing to the right, but its distance does not change.
Moving…. If something is moving at a constant speed, it means we expect the same increase in distance in a given time: • The same amount of distance is traveled for each unit of time.
Can you describe what is going on? • For the first part of the journey, the object moved at a steady (slow) speed. • It then suddenly increased its speed, covering a much larger distance in the same time.
What is the effect of line ‘Steepness’, A.K.A slope… • Both the lines below show that each object moved the same distance, but the steeper yellow line got there before the other one: • A steeper slope shows that a larger distance was traveled in a given time. In other words, higher speed. • Both lines are of constant gradient, so both speeds are constant.
Speeding up! The line below is curving upwards. This shows an increase in speed, since the gradient is getting steeper: In other words, in a given time, the distance the object moves is larger. It is accelerating.
Things Don’t Usually Move At A Constant Speed… Describe the three parts to the journey shown below: • Moving at a steady speed, slowly… then what? • Sopped (probable for ice-cream ) … then what? • Moving again, but what does that steeper slope mean? It’s going FASTER now!
Calculating speed from graphs! • We can see that the motion shown by the yellow line is fastest. • By definition, speed = distance ÷ time so the steepness (or gradient) of the line will give us the speed! • Yellow: speed = distance ÷ time = 30 m ÷ 10 s = 3 m/s • Blue: speed = distance ÷ time = 20 m ÷ 20 s = 1 m/s
Calculate the speeds of the three different sections in a graph. • Stage 1: 100 m ÷ 10 s = 10 m/s • Stage 2: 50 m ÷ 10 s = 5 m/s • Stage 3: 150 m ÷ 20 s = 7·5 m/s