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Distance Time Graphs

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Distance Time Graphs Understanding and interpreting Distance Time Graphs Describing a journey made by an object is very boring if you just use words. – PowerPoint PPT presentation

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Title: Distance Time Graphs


1
Distance Time Graphs
  • Understanding and interpreting

2
Distance Time Graphs
  • Describing a journey made by an object is very
    boring if you just use words. As with much of
    science, graphs are more revealing.
  • Plotting distance against time 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.

3
Not moving? This is what it looks like
  • If something is not moving, a horizontal line is
    drawn on a distance-time graph (dt-graph).
  • Time is increasing to the right, but its distance
    does not change. It is stationary.

4
Moving.
  • If something is moving at a steady speed, it
    means we expect the same increase in distance in
    a given time
  • Time is increasing to the right, and distance is
    increasing steadily with time. It moves at a
    steady speed.

5
Steady Speed
  • If something is moving at a steady speed, it
    means we expect the same increase in distance in
    a given time
  • Time is increasing to the right, and distance is
    increasing steadily with time. It moves at a
    steady speed.

6
Can you describe what is going on here?
  • For the first part of the journey shown by the
    graph below, the object moved at a steady (slow)
    speed.
  • It then suddenly increased its speed, covering a
    much larger distance in the same time.
  • This sort of motion is not very realistic, but is
    easy to understand. It also makes calculations
    easier!

7
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 gradient indicates a larger distance
    moved in a given time. In other words, higher
    speed.
  • Both lines are of constant gradient, so both
    speeds are constant.

8
  • 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.

9
  • There are three parts to the journey shown below
  • Moving at a steady speed, slowly Not moving for
    quite some time Moving again, but at higher
    speed
  • In all the graphs so far, we have not seen any
    numbers - it's about time we did!

10
Finding speed from these types of 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

11
Calculate the speeds of different sections within
a graph
  • Stage 1 speed distance / time 100 m / 10 s
    10 m/s
  • Stage 2 speed distance / time 50 m / 10 s
    5 m/s
  • Stage 3 speed distance / time 150 m / 20 s
    75 m/s
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