Motion in one dimension has one variable, this variable can be displacement, velocity or acceleration. One dimensional motion does not have the force of gravity acting upon it because it is only in the x direction (horizontal). Displacement is the measure of distance from an initial position and final position. Velocity is the speed at which an object is traveling. Acceleration is the rate of change of velocity. All of the variables in respect with time.
Graphing Motion in One Dimension
There are specific aspects that go into graphing.
Scalars are one aspect of graphing. They stand distance only.
Where x stands for displacement and t stands for time.
The first line represents displacement, in other words movement. The flat segment represents that there is no displacement meaning movement has stopped. The last slant represents movement has started again at a quicker rate.
Velocity is the change in displacement over time This velocity graph is based on the displacement graph above. The first segment demonstrates the constant velocity. The second segment represents that the velocity of the object is zero, meaning it's not moving. The third segment demonstrates that the object is moving faster than the first segment because the line is higher.
Acceleration is the change in velocity over time. In this example the acceleration is zero because there's no slope in the velocity graph.
Vectors are another aspect of graphing. They stand for distance and direction.
This displacement graph shows direction and distance. As the line inclines, the direction stays positive as the distance increase. However, as the line declines the direction becomes negitive and the distance continues to increase.
Since the line in the displacement graph was curved the velocity did not stay at a constant rate. The line in the displacement graph gradually becomes slower until it's at the apex where the velocity is zero, then the velocity gradually increases as the line goes . The acceleration is at a constant negative number because the velocity graph has a negative slope.
Motion in one dimension has one variable, this variable can be displacement, velocity or acceleration. One dimensional motion does not have the force of gravity acting upon it because it is only in the x direction (horizontal). Displacement is the measure of distance from an initial position and final position. Velocity is the speed at which an object is traveling. Acceleration is the rate of change of velocity. All of the variables in respect with time.
Graphing Motion in One Dimension
There are specific aspects that go into graphing.
Scalars are one aspect of graphing. They stand distance only.
Where x stands for displacement and t stands for time.
Velocity is the change in displacement over time
Acceleration is the change in velocity over time.
Vectors are another aspect of graphing. They stand for distance and direction.