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.
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.
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.
Yes. If the slope is positive, the direction of the displacement is positive (e.g. north, east, or right). If the slope is negative, the direction of the displacement is negative (e.g. south, west, or left).
The slope of the curve.
To calculate displacement from a displacement graph, find the area under the curve. If the graph is a straight line, you can subtract the initial position from the final position. If the graph is not a straight line, calculate the integral of the graph to determine the total displacement.
True. Velocity is the rate of change of displacement with respect to time, which is represented by the slope of the displacement versus time graph.
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.
The work done is equal to the area under the curve on a force versus displacement graph. To find the work, calculate the area of the shape(s) represented by the graph. This can be done by breaking down the shape into simpler geometrical shapes and calculating their areas.
To find the spring constant from a graph of force versus displacement, you can calculate the slope of the line. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. The formula for the spring constant is k F/x, where k is the spring constant, F is the force applied, and x is the displacement. By determining the slope of the line on the graph, you can find the spring constant.
Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration
A displacement vs. time graph illustrates the position of an object over time, with displacement on the vertical axis and time on the horizontal axis. A straight, sloped line indicates uniform motion, while a curve represents acceleration or deceleration. The slope of the line indicates the object's velocity; a steeper slope means higher velocity. When the line is horizontal, it shows that the object is at rest, with no change in displacement over time.
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.
In neutral equilibrium, displacement in either direction would not affect the potential energy of the particle, therefore, the graph would be horizontal.
Displacement is the area under the v-t graph.
Yes, a displacement-time graph can be parallel to the displacement axis. This occurs when an object is at rest, meaning its displacement does not change over time. In such a case, the graph would be a horizontal line, indicating that there is no movement.