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Displacement is distance from starting point.
If the object is always travelling in the same direction then they are the same.
If the object turns round, the distance would still be increasing, however the displacement would be decreasing at the same rate.
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What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
What does y equals 0 on a displacement- time graph represent?
The displacement, along the direction of measurement, is zero. It need not mean that the object is back at the starting point. The displacement-time graph, measuring the vertical displacement of a ball thrown at an angle, will have displacement = 0 when the ball returns to ground level but, unless you are extremely feeble, the ball will be some distance away, not at its starting point which is where you are. The use of such a graph is not unusual in the elementary projectile motion under gravity.
Slope of a displacement time graph?
It is the instantaneous speed in the direction in which the displacement is measured.
Distance time graph?
distance time graph is a graph traveled in a graph which shows how much we have traveled in equal period of time.
What is the condition of the position-time graph when the velocity-time graph passes through zero?
As, in the velocity-time graph, curves passes through zero means 'when time is zero velocity is zero'. Velocity is time derivative of displacement. So displacement is maximum or minimum when time is zero in position-time graph.
How do you get displacement from a displacement graph?
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.
What is a displacement time graph?
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.
How do you figure out the starting point of a distance vs time graph when given the velocity vs time graph and a function?
To find the starting point of a distance vs time graph from a velocity vs time graph and a function, you would integrate the velocity function to find the displacement function. The starting point of the distance vs time graph corresponds to the initial displacement obtained from the displaced function.
How can you use graphs to find the displacement of an object?
You can use a position-time graph to find the displacement of an object by determining the change in position between the initial and final points on the graph. The displacement is the area under the curve of the graph, which corresponds to the distance traveled by the object in a particular time interval. Mathematically, displacement can be calculated by integrating the velocity-time graph or finding the slope of the graph at different time points.
What is the quantity which is measured by the area occupied below the velocity - time graph?
Distance travelled (displacement). Distance = velocity/time, so velocity * time = distance. Likewise, x = dv/dt so the integral of velocity with respect to time (area under the graph) is x, the distance travelled.
The slope of a displacement-time graph is?
The slope at each point of a displacement/time graph is the speed at that instant of time. (Not velocity.)
Give me another term for the area under a velocity-time graph?
The area under the velocity time graph of an object is equal to the distance travelled by that object in that time. This is because displacement is the integral of velocity with respect to time so integrating velocity from time A to time B will give the displacement from time A to time B. ( Integrating is the same as calculating the area under the graph)
What is the gradient of a graph in a displacement time and velocity time graphs?
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
What is the area of a position time graph?
The area under a position-time graph represents the displacement of an object. It is calculated by finding the area between the curve of the graph and the time axis. The units of the area will be in distance units (e.g., meters, kilometers).
How can you obtain the average velocity and instantaneous velocity from a displacement time graph?
You cannot because a dispacement-time graph is concerned only with motion in a radial direction; any motion in a transverse direction is completely ignored. For example, an object circling the origin at a fixed distance, even with a variable speed, is always at the same distance from the origin. So the displacement-time graph will be a straight line whose height is the radial distance. A straight line in the distance-time graph is to be interpreted as no motion! Really?!The average velocity in the radial direction is the final displacement minus the starting [initial] displacement, all divided by the difference in time between the two points. The instantaneous velocity in the radial direction is the slope [gradient] of the graph at the point in question.
What is distance - time graph?
A distance-time graph illustrates the relationship between distance traveled and time taken. It shows how the distance changes over time, with distance usually plotted on the y-axis and time on the x-axis. The slope of the graph represents the speed of the object being tracked.
