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A displacement versus time graph shows how an object's position changes over time. It can provide information about the object's speed, direction of motion, and whether it is accelerating or decelerating. The slope of the graph represents the object's velocity.
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!
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.
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How to calculate distance from a velocity time graph?
To calculate distance from a velocity time graph, find the area under the velocity-time curve. If the graph is above the time axis, sum the areas of each individual shape formed between the curve and the time axis. If the graph is below the time axis, subtract the areas of the shapes below the time axis from the areas above the time axis.
When is the shape of an position versus time graph parabolic?
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.
In an acceleration graph showing speed versus time a straight line shows the acceleration is?
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.
Can a position time graph tell in which directionthe displacement of an object is?
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.
What property on a position-versus time graph represents speed?
The slope of the curve.
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.
Is velocity the slope of the displacement vs time graph true or false?
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.
According to Hooke's law describe a graph of force versus displacement for an elastic spring?
The graph of force versus displacement for an elastic spring is a straight line through the origin due to Hooke's law, which states that the force applied is directly proportional to the displacement of the spring. As the displacement increases, the force required to maintain that displacement also increases linearly.
How can you find work from a force versus Displacement graph?
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.
What type of motion is occurring when the slope of a line is not zero?
Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration
What would be the shape of a displacement versus time graph for an object?
The shape of a displacement versus time graph for an object could vary depending on the motion. It could be a straight line for constant velocity, a curve for accelerated motion, zero line for zero velocity, or negative slope for motion in the opposite direction.
Area under the velocity versus time 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.
What shape would the graph of U versus x have if a particle were in a region of neutral equilibrium?
In neutral equilibrium, displacement in either direction would not affect the potential energy of the particle, therefore, the graph would be horizontal.
What equals the displacement on a velocity-time graph?
Displacement is the area under the v-t graph.
What shape what is the displacement versus time for the skydiver be?
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.
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 does a graph showing speed differ from a graph showing acceleration?
Speed can be shown on a graph of position versus time, and acceleration can be shown on a graph of speed versus time.
