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How to plot time vs velocity graph and time vs displacement graph?

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Solution


Time vs Velocity graph
Create a table listing velocity in one column and corresponding time in a second column. Fill in the table with the values you calculate for these two variables, using the appropriate physics equations.

Draw on graph paper two straight lines originating at the same point and perpendicular to each other. This is the x-y axis. The x-axis is the horizontal line and the y-axis is the vertical line.

Mark appropriate equally-spaced time intervals on the x-axis so that you can easily graph the time values from the table.

Mark appropriate velocity increments on the y-axis so that you can easily graph the velocity values from the table. If you have negative velocity values, extend the y-axis downward.

Find the first time value from the table and locate it on the x-axis. Look at the corresponding velocity value and find it on the y-axis.

Put a dot where a straight line vertically drawn up through the x-axis value and a straight line horizontally drawn through the y-axis value intersect.

Plot in similar fashion for all other velocity-time pairs in your table.

Draw a straight line with a pencil, connecting each dot you have put down on the graph paper, going from left to right.

Time vs Displacement graph

Lets take a man covering certain path for a particular time. For each interval his rate of displacement might be uniform or non uniform. To get the idea at what rate the person undergoes displacement as a whole is decided by the displacement time graph.

A graph is plotted between the displacement of a body and the time taken by the body to cover such displacement is what we call displacement time graph. Here we take time on x-axis and displacement on y-axis.


There are several types of displacement time graphs. Every displacement time graph represents the nature of motion of the body.

For a stationary body, the displacement time graph is a straight line parallel to the time axis.The slope of the line is zero that indicates the velocity of the body is zero.

Displacement Time Graph

For a body moving with constant velocity, the displacement time graph is a straight line inclined at any angle from the time axis. If the slope is more that means the velocity of the body is more and if the slope is less it indicated the velocity of the body is less because the body moving with constant velocity says that the acceleration of the body is zero.
Displacement Time Graph


For a body moving with non-uniform velocity means that the displacement of the body covers in equal of interval of time is increasing, then the displacement time graph is a curved line tells that the velocity is increasing.
Displacement Time Graph
If we draw the tangent at several points on the graph, we observe that as the time increases the slope of the tangent also increases. Increasing slope shows that the velocity is not uniform and the motion is accelerated.



For a body moving with non-uniform velocity means that the displacement of the body covers in equal of interval of time is decreasing, then the displacement time graph is a curved line tells that the velocity is decreasing.
Displacement Time Graph
If we draw the tangent at several points on the graph we could see that as the time increases the slope of the tangent decreases. Decreasing slope shows that the velocity is not uniform and the motion is retarded.


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