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The velocity of the moving object is constant throughout the motion. Displacement-time graph of a uniform motion is the graph between the displacement and time when the motion of an object is uniform, which means the object's velocity is constant. This graph gives a straight line with a non-zero slope. So, uniform acceleration of an object can be defined as the amount of change of velocity in equal intervals of time.
The rate of change of velocity, in this case, is constant. The displacement-time graph for uniform acceleration is a graph that gives a curved or a parabolic line because the rate of change of velocity in equal intervals of time changes as the moving object accelerates. Displacement-Time Graph for Uniform Acceleration Types of Displacement-Time Graphs When the Object is at Rest An object is at rest, which means that the velocity of the object is zero, which indicates that the difference between the position of the object at different times will be zero because the object is not moving.
Therefore, the slope of the graph will be zero. The graph will give us a straight line that is parallel to the x-axis of the graph, which is depicted by time. Displacement-Time Graph for Object at Rest When Velocity is Constant When the velocity of the moving object is constant, the difference between the position of the objects at different times will not be zero and may give us a constant value, which means that the slope of the graph will not be zero, therefore, the displacement-time graph gives us a graph of uniform motion.
This graph depicts a straight slanting line with a non-zero slope. Displacement-Time Graph for Constant Velocity When the Rate of Change of Velocity is Constant We know that acceleration is defined as the rate of change of velocity, therefore, in this case, the acceleration of the moving object is constant.
The graph indicates that the acceleration of a moving object is constant, and it gives the shape of a parabola. Displacement-Time Graph for Constant Rate of Change of Velocity There can be cases where the moving object is moving backward, thus, the slope of the displacement-time graph, in that case, will be negative.
That means the gradient of the displacement-time graph becomes increasingly negative during downward motion. This also means that the ball is coming closer to the ground initial point of throwing. As a result, with the descending ball, displacement of it also falls towards zero. Distance-time graph for a ball thrown vertically upwards with explanation The distance travelled by the object changes with time as shown by Figure 2.
The gradient of this line in the distance-time graph represents the speed. From projection to maximum height, the shape is exactly the same as in Figure l. After the maximum height is reached, the distance traveled by the ball continues to increase with increasing speed under acceleration , so the gradient of the line curves up, just opposite to Figure I.
Difference between the displacement-time graph and distance-time graph — Summary The first halves of the displacement-time graph and distance-time graph of a ball thrown vertically are the same, but the difference is visible only after the ball reaches the maximum height in the second half of the graphs.
Remember that, the gradient of the displacement-time graph is velocity which is a vector. But the gradient of the distance-time graph is speed which is scalar. In the second half when the ball is falling of the displacement-time graph, the gradient of it velocity is increasingly negative. But in the second half of the distance-time graph, the gradient of it speed is increasingly positive.
This makes all the difference between the 2 graphs for a ball thrown vertically upwards. Here is a table that lists down the differences between the displacement-time graph and the distance-time graph.
Difference between displacement time graph velocity time graph thinkorswim forex pairs volatility
Displacement-time graph and Velocity time graph of a ball thrown and comes down
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