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How do you determine acceleration from a position vs. time graph?
Wiki User
∙ 14y ago
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).
Wiki User
∙ 13y ago
Wiki User
∙ 14y agoTo 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)
Wiki User
∙ 10y agoThe change in velocity is the area under the graph from t1 to t2. If the initial velocity is zero, the velocity at time, tf, is the area from t = 0 to tf.
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Is The slope on a position-time graph is representative of the acceleration of the object?
No. Slope of position/time graph is speed, or magnitude of velocity.Slope of speed/time graph is magnitude of acceleration.
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?
If a position versus time graph is parabolic, then:Speed versus time is a straight line.Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.The graph of height/time for a stone or a baseballtossed upward is an inverted parabola.
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.
What is position - time graph?
A position-time graph, is one in which position is plotted on the y-axis and the time is on the x-axis. A position-time graph is similar to a distance-time graph, but direction of motion in the y-axis.
Is The slope on a position-time graph is representative of the acceleration of the object?
No. Slope of position/time graph is speed, or magnitude of velocity.Slope of speed/time graph is magnitude of acceleration.
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.
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.
What would the graph look like on a position verse time plot with constant acceleration?
If the constant acceleration is positive, the graph would be an exponential (x2) graph. If there is constant acceleration, then velocity is always increasing, making the position change at an ever increasing rate.
What shape do you expect for a graph showing the position of a motorcycle versus time if the motorcycle is speeding up with a constant acceleration?
The position versus time graph is parabolic.
What does the slope of a speed vs time graph represent?
magnitude of acceleration at every point on the graph
Is there a graph of the acceleration rate of a falling object?
Yes. Free fall can be graphed on a position-time graph and a velocity-time graph. Refer to the related link below for examples.
Velocity is the slope of the displacement vs time graph?
Velocity is NOT the slope of the acceleration vs. time graph. Velocity is the area under the acceleration vs. time graph. Velocity is the slope of a position vs. time graph, though. For you Calculus Junkies, v = the integral of acceleration with respect to time.
How do you make a velocity vs time graph from an acceleration vs time graph?
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
In a position vs time graph what does it mean if the position is a negative number?
If acceleration is negative the graph looks like a upside U and decreases in value as time continues If acceleration is constant the graph is a straight line (linear) at 0 or whatever the velocity is
When is the shape of an position versus time graph parabolic?
If a position versus time graph is parabolic, then:Speed versus time is a straight line.Acceleration (magnitude) vs time is a horizontal line, so the acceleration is constant.The graph of height/time for a stone or a baseballtossed upward is an inverted parabola.
What is a position versus time-squared graph?
If you have an object that is accelerating, then a position vs. time graph will give you a parabola which is pretty but is very hard to measure anything on - especially hard to measure the acceleration (or the curve of the line). If however, you graph position vs. time squared, you get a nice straight line (if you have constant acceleration) and therefore, you can measure the slope and get the acceleration. Remember: x = 1/2at2 so if you graph x vs. t2 then the slope = 1/2 a or a = 2*slope No matter what you are measuring, you always want to graph a straight line. hope that helps
