Constant velocity
Zero acceleration and/or Moving object
The shape of a position versus time graph is parabolic when the object is undergoing constant acceleration. This acceleration results in a quadratic relationship between position and time, forming a parabolic curve.
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, a position-time graph can tell you the direction of the displacement of an object. If the slope of the graph is positive, the object is moving in the positive direction. If the slope is negative, the object is moving in the negative direction.
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
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.
The shape of the displacement versus time graph for a skydiver would be a curve that starts at zero displacement when the skydiver jumps out of the plane, increases as the skydiver falls accelerating due to gravity, and eventually levels off as the skydiver reaches terminal velocity. The curve will then be a straight line at a constant displacement representing the terminal velocity until the skydiver opens the parachute, at which point the displacement will decrease as the skydiver slows down and lands.
A displacement-time graph is a visual representation that shows how an object's position changes over time. The slope of the graph indicates the object's velocity, while the area under the graph corresponds to the total distance traveled by the object.