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if the acceleration is constant, then it is a parabola (a=V*t+(at^2)/2).
if it isn't, and you are give it's formula in relation to time, then it is possible to find the distance formula by using higher level mathematics(integrals).
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ViviAcceleration can be determined from a position vs. time graph by finding the slope of the velocity vs. time graph. The slope of the velocity vs. time graph represents the rate at which velocity is changing, which is acceleration. A steeper positive slope indicates a higher acceleration, while a steeper negative slope indicates deceleration.
To determine acceleration from a position vs. time graph, you must first look at the slope of the graph. The slope is the velocity. (in calculus, dx/dt). You should draw a graph of the velocity over the course of the time interval. Now, look at the slope of the velocity vs. time graph. That is the acceleration. (in calculus d2x/dt2)
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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 information can be learned from a position-time graph and from a speed-time graph?
A position time graph can show you velocity. As time changes, so does position, and the velocity of the object can be determined. For a speed time graph, you can derive acceleration. As time changes, so does velocity, and the acceleration of the object can be determined.If you are plotting velocity (speed) versus time, the slope is the acceleration.
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.
How would one determine Acceleration from a V-t Graph?
Acceleration can be determined from a velocity-time graph by calculating the slope of the line on the graph. The steeper the slope, the greater the acceleration. If the graph is curved, acceleration can be calculated by finding the tangent to the curve at a specific point.
Graphical representation of motion?
Motion can be represented graphically using position-time graphs, velocity-time graphs, and acceleration-time graphs. These graphs provide information about how an object's position, velocity, and acceleration change over time. Position-time graphs show the object's position at different times, velocity-time graphs show how the velocity changes over time, and acceleration-time graphs show how the acceleration changes over time.
