Constant velocity
Zero acceleration and/or Moving object
Displacement is a vector, which means that at some point in time an object was displaced from its original origin. Velocity is a vector, which records the rate of change of a displaced object, typically on a time graph.
The graph is plotted on a coordinate plane in which time is measured along the horizontal axis. The origin is t[usually] he reference position of the object at time 0. For any point in time, the graph is a plot of the distance of the object from the origin at that time - measured only in the radial direction.
The plot is incapable of showing any motion in a transverse direction. As a result, the plot for a stationery object is the same as one for an object rotating around the origin at varying speeds!
Zero acceleration and constant velocity describe this.
If the constant velocity is in a positive direction, the slope of a displacement-time graph will be a straight line with a positive slope, and the slope of the line will be the velocity.
Area under the graph
If a position versus time graph is parabolic, then:Speed versus time is a straight line.Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.The graph of height/time for a stone or a baseballtossed upward is an inverted parabola.
You cannot since the graph shows displacement in the radial direction against time. Information on transverse displacement, and therefore transverse velocity, is not shown. For example, there is no difference in the graph of you're staying still and that of your running around in a circle whose centre is the origin of the graph. In both cases, your displacement from the origin does not change and so the graph is a horizontal line. In the first case the velocity is 0 and in the second it is a constantly changing vector. All that you can find is the component of the velocity in the radial direction and this is the slope of the graph at the point in question.
A graph that shows speed versus time is not an acceleration graph.The slope of the graph at any point is the acceleration at that time.A straight line shows that the acceleration is constant.
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
The slope of the curve.
To get displacement from a displacement graph, just look at the Y- axis for the particular time (displacement versus time). For the displacement graph, the Y-axis is usually displacement.
The spring obeys Hooke's law for all displacements. Hooke recognized this, and his law applies only while the displacement stays within the "elastic limit" for the spring. Within that range the graph is a straight line through the origin.
A displacement time graph is a graph that consists of an x and y axis using displacement, by time.
Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration
the displacement mean the shortest distance between two points. the shape of displacement where the objects move and its also help us to tell the shape of displacement with the use of graph.
Area under velocity versus time graph(between two given instances of time i.e. two points on time axis) gives the displacement of the body( whose graph was plotted) between those two instances i.e. in that time interval. Area under velocity time graph can be found from definite integration if the graph is a curve. Note: Area under velocity versus time graph gives displacement not distance covered by body. Note: Area enclosed between the plotted curve and time axis is taken. For convenience time should be taken in the x-axis.
Displacement is the area under the v-t graph.
In neutral equilibrium, displacement in either direction would not affect the potential energy of the particle, therefore, the graph would be horizontal.
Speed can be shown on a graph of position versus time, and acceleration can be shown on a graph of speed versus time.
The slope at each point of a displacement/time graph is the speed at that instant of time. (Not velocity.)
It is the instantaneous speed in the direction in which the displacement is measured.
Speed-Versus-Time, Distance-Versus-Time.