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Physics Lesson 3.10.1 - Velocity verse Time Graph in Uniform Motion
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Welcome to our Physics lesson on Velocity verse Time Graph in Uniform Motion, this is the first lesson of our suite of physics lessons covering the topic of Velocity v's Time and Speed v's Time Graph, you can find links to the other lessons within this tutorial and access additional physics learning resources below this lesson.
Velocity verse Time Graph in Uniform Motion
Like in the Position vs Time graph, in the Velocity vs Time graph the horizontal axis contains the Time, t, while the velocity is shown at the vertical axis.
In uniform motion, the velocity is constant. This means the Velocity vs Time graph will be a horizontal line, which lies v⃗ units above or below zero depending on the sign of velocity. This line extends horizontally from zero up to the moving time t.
Let's explain this point by illustrating it with numbers. Suppose we are required to find the displacement and distance of the object whose motion is shown in the graph below.
From the graph we can see that the velocity during the first 10 s is constant and positive (v⃗1 = 12 m/s). This means during this interval the object is moving at constant velocity in the positive direction of the position axis.
During the next 15 seconds, the object has a negative constant velocity (v⃗2 = -4 m/s). This means it is moving at constant velocity towards the negative direction of position axis (although it may still be moving on the positive part of the position axis).
Therefore, applying the equation of uniform motion for both parts of the motion, we obtain
and
Hence, the total displacement ∆x⃗tot is
= 120 m + (-60)m
= 60 m
You have reach the end of Physics lesson 3.10.1 Velocity verse Time Graph in Uniform Motion. There are 4 lessons in this physics tutorial covering Velocity v's Time and Speed v's Time Graph, you can access all the lessons from this tutorial below.
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- Continuing learning kinematics - read our next physics tutorial: Acceleration v's Time Graph
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