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h2chawwaa
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What is the difference between position time graph, velocity time graph and acceleration time graph and how would each of them look like when drawn?
h2chawwaa said:What is the difference between position time graph, velocity time graph and acceleration time graph and how would each of them look like when drawn?
easwaran.sr said:exponential, ramp,straight line parallel to time axis
It would be quadratic, x(t) = x0 + v0 t + 1/2 a t2.256bits said:If the object is moving at constant acceleration then the plot of position versus time is exponential ...
256bits said:If the object is moving at constant acceleration then the plot of position versus time is exponential, a plot of velocity vs time is a ramp ( ie sloped ), and the plot of acceleration vs time is a horizontal straight line.
If the object is moving at a constant velocity then the plots become a ramp, a horizontal line, and a horizontal line with acceleration = 0.
If the object has no velocity nor acceleration then the plot of position is a horizontal staright line and the plots of both velocity and acceleration are horizontal straight lines with velocity=0 and acceleration=0.
A position-time graph shows the change in an object's position over time, while a velocity-time graph shows the change in an object's velocity over time. In other words, a position-time graph shows the distance an object has traveled, while a velocity-time graph shows the speed at which the object is traveling.
The slope of a velocity-time graph represents an object's acceleration. A steeper slope indicates a greater acceleration, while a flatter slope indicates a smaller acceleration. The units for acceleration on a velocity-time graph are meters per second squared (m/s^2).
The displacement of an object can be found by calculating the area under the curve of a position-time graph. This can be done by dividing the graph into smaller shapes (such as rectangles or triangles) and adding up their individual areas. The resulting value is the object's displacement.
An acceleration-time graph shows the change in an object's acceleration over time. The slope of the graph represents the rate of change in acceleration, and the area under the curve represents the change in velocity. A flat line on an acceleration-time graph indicates a constant acceleration, while a curved line indicates a changing acceleration.
From a position-time graph, you can determine an object's distance traveled and its direction of motion. From a velocity-time graph, you can determine an object's speed and acceleration. From an acceleration-time graph, you can determine how an object's acceleration changes over time. All three graphs together provide a comprehensive understanding of an object's motion.