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  1. Graphs are the pictorial representation of data that is explained in the solution. Displacement time graph, velocity time graph and acceleration time graph are explained here. Time is the independent variable while displacement, acceleration and velocity are the dependent variables.

    • Motion Graphs

      Distance-time graph is the plot of distance travelled by a...

    • Speed Time Graph

      Know about Speed-Time Graphs, for constant speed, constant...

    • Distance Time Graph

      Distance-time graph is a simple line graph that denotes...

    • Examples

      Case 3: Velocity-time graphs with increasing acceleration....

    • Step 1: Choosing The Axes
    • Step 2: Choose The Scale
    • Step 3: Plotting The Points
    • Step 4: Joining The Points

    Step 1 in plotting the graph is Choosing the axes. In this step first, mark the axis by drawing two perpendicular lines crossing each other at a point. Now mark the x-axis and y-axis. We will take time along the x-axis because generally independent variables are taken along the x-axis. We will take distance which is the dependent variable along the...

    In our second step, we would choose the scale. We have to choose the scale because the size of the paper on which the graph is drawn is limited. Values are marked at equal distances on the available length of the axis. You have to do it in such a way that all the values of the quantity represented on the axis can be accommodated in the available le...

    In the third step, we would be plotting the points. Now each set of values of the two quantities is represented by a point on the graph. For example, the set 6 minutes and 10 kilometers is represented by point A on the graph. To get this point we mark 6 minutes on the x-axis and draw a perpendicular at the point on the x-axis. Similarly, locate 10 ...

    Our fourth step would be joining the points. Once all these points corresponding to available information in the table are plotted they are joined by a smooth curve to get the graph. Here, in this case, we get a straight line that represents a uniform motion. I think now you have an idea about the basics of the graph and how to plot them. So if you...

  2. Mar 31, 2022 · Motion graphs allow scientists to learn a lot about an object’s motion with just a quick glance. This article will cover the basics for interpreting motion graphs including different types of graphs, how to read them, and how they relate to each other. Interpreting motion graphs, such as position vs time graphs and velocity vs time graphs ...

  3. Galileo's description of an object moving with constant speed (perhaps the first application of mathematics to motion) required one definition, four axioms, and six theorems. All of these relationships can now be written in a single equation. v =. ∆ s. ∆ t. When it comes to depth, nothing beats an equation.

  4. The slope of a graph of velocity v vs. time t is acceleration a. slope = Δv Δt = a. Since the velocity versus time graph in Figure 2.8.3b is a straight line, its slope is the same everywhere, implying that acceleration is constant. Acceleration versus time is graphed in Figure (c).

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  6. These graphs represent what is happening to the various dependent variables (x x, v v, and a a) over time. There are three goals here: To interpret a graph in terms of the physical motion of the object it represents. To sketch a graph that represents the physical motion of an object, given a description of that motion.

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