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Usually time is the independent variable on the horizontal (or X) axis. Position or displacement is the dependent variable (that is, it's a function of time) on the vertical (or Y) axis. For any point on the curve, there will be an associated value for time, t, and a corresponding value for displacement, s. In other words, you can determine an object's position -- or displacement from the origin -- for any time, t. Going further, you can determine an object's speed, too. For any two points on the curve, (t1, s1) and (t2, s2), the speed can be calculated using the following formula: Speed = (s2 - s1) / (t2 - t1)
Displacement in a position-time graph can be determined by finding the difference between the final position and the initial position of an object. This is represented by the vertical distance between the starting and ending points on the graph. Negative displacement indicates movement in the opposite direction.
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What is position - time graph?
A position-time graph shows the relationship between an object's position and time. The position of the object is typically plotted on the y-axis, while time is on the x-axis. The slope of the graph represents the object's velocity, with a steeper slope indicating a higher velocity.
How do you go from a position graph to a velocity graph?
To go from a position graph to a velocity graph, you can calculate the slope of the position graph at each point. The slope at any given point on a position vs. time graph represents the velocity at that specific time. Therefore, the velocity graph would be a plot of the slopes at each point on the position graph.
How do you find instantaneous velocity from position time graph?
To find instantaneous velocity from a position-time graph, you calculate the slope of the tangent line at a specific point on the graph. The slope represents the rate of change of position at that instant, which is equivalent to the velocity at that particular moment.
Is The slope on a position-time graph is representative of the acceleration of the object?
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
How to convert a velocity time graph into a position time graph?
The position at time t (and therefore the height of the p-t graph) will be the area under the v-t curve between time 0 and t.
How do you find maximum speed in a time position graph?
To find the maximum speed in a time-position graph, you would need to locate the steepest slope or the point with the highest gradient on the graph. This slope represents the highest rate of change in position over time, which corresponds to the maximum speed.
What is velocitys position time graph?
The velocity position time graph is rightward. This can change at anytime.
What is position - time graph?
A position-time graph shows the relationship between an object's position and time. The position of the object is typically plotted on the y-axis, while time is on the x-axis. The slope of the graph represents the object's velocity, with a steeper slope indicating a higher velocity.
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.
How do you go from a position graph to a velocity graph?
To go from a position graph to a velocity graph, you can calculate the slope of the position graph at each point. The slope at any given point on a position vs. time graph represents the velocity at that specific time. Therefore, the velocity graph would be a plot of the slopes at each point on the position graph.
What is the difference between a velocity time graph and a position time graph?
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
How do you find instantaneous velocity from position time graph?
To find instantaneous velocity from a position-time graph, you calculate the slope of the tangent line at a specific point on the graph. The slope represents the rate of change of position at that instant, which is equivalent to the velocity at that particular moment.
Is The slope on a position-time graph is representative of the acceleration of the object?
No, the slope on a position-time graph represents the object's velocity, not acceleration. Acceleration would be represented by the slope of the velocity-time graph.
What is represented by the y intercept on a position and time graph?
The y-intercept of a position and time graph represents the position of the object at time zero. It indicates the initial position of the object when the time is zero.
Find position given velocity vs time graph?
To find the position from a velocity-vs-time graph, you need to calculate the area under the velocity curve. If the velocity is constant, the position can be found by multiplying the velocity by the time. If the velocity is changing, you need to calculate the area under the curve using calculus to determine the position.
What is a position time graph?
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How do you generate a position-time graph from a velocity time graph?
A girl walks along a straight path to drop a letter in the letterbox and comes back to his initial position. Her displacement-time graph. Plot a velocity-time graph for the same
