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Answered 2010-03-18 12:13:41

Instantaneous acceleration.

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What is the slope of the tangent in a position-time graph?

The slope of the tangent line in a position vs. time graph is the velocity of an object. Velocity is the rate of change of position, and on a graph, slope is the rate of change of the function. We can use the slope to determine the velocity at any point on the graph. This works best with calculus. Take the derivative of the position function with respect to time. You can then plug in any value for x, and get the velocity of the object.


Find the slope of a tangent line to the graph?

Use the four-step process to find the slope of the tangent line to the graph of the given function at any point.


The slope of a line drawn tangent to a point on the curve of a position vs time graph describes what concept?

It is the instantaneous velocity, if it were a graph with velocity over time, then it would be acceloration


What type speed is represented by a constant slope on a distance-time graph?

The slope (technically, the slope of the tangent at each point) of a distance-time graph gives the instantaneous velocity. Therefore, if the graph has a constant slope - i.e. it is a straight line - then that indicates a constant velocity (zero acceleration).


Derivative as the Slope of a Tangent?

Yes, the derivative of an equation is the slope of a line tangent to the graph.



How do you get the slope of a line on a graph?

Take a tangent at the point where you want the slope. Then the slope of the graph at that point is the slope of the tangent, which is found by taking another point on the tangent and then taking the change in y between the two points and divid it by the change in x.


How do you determine velocity using a position-time graph?

You can't determine velocity from that graph, because the graph tells you nothing about the direction of the motion. But you can determine the speed. The speed at any moment is the slope of a line that's tangent to the graph at that moment.


What is the nature of displacement -time graph of body moving with constant velocity?

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.


Which force Acceleration is the slope of the velocity vs time graph?

The slope of a velocity-time graph is acceleration. If it is a straight line, then it is the average acceleration. Force is not part of the velocity-time graph.


How do you know there is no motion on a distance time-graph?

distance = velocity x time so on the graph velocity is slope. If slope is zero (horizontal line) there is no motion


Velocity is represented graphically by what?

Velocity is the slope of the line on a D-t graph


How do you calculate velocity from an x-t graph?

If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.


How can you use a graph to find velocity?

if the segments on the disp vs time graph are straight lines, you merely measure the slope of those lines; the velocity is the slope of the lineso if the disp vs time graph shows a straight line of slope 3 between say t=0 and t=4, then you know the object had a constant speed of 3 units between t=0 and t=4;if the disp vs time graph is curved, then you need to find the slope of the tangent line to the disp vs time curve at each point; the slope of this tangent line is the instantaneous speed at the time, and with several such measurements you can construct your v vs t graph


The slope of a line on a distance time graph represents?

The slope of a line on a distance-time graph represents the speed or velocity. The steeper the line is and the greater the slope of the line is, the faster the object is moving.


The slope of a line on a distance graph is?

Speed. (the magnitude of velocity)


What is a tangent line?

Tangent line is a graph. This graph is to gather data.


What does a horizontal line on a distance-time graph indicate?

It means there is no velocity - it is at rest and nothing is moving. The slope of the line is velocity - a horizontal line is zero slope = zero velocity


How can you find the acceleration from velocity time graph?

The gradient of the tangent to the velocity-time graph at any point is the acceleration at that point. If the v-t graph is a straight line then the gradient of that line is the acceleration.


How is instantaneous acceleration related to a velocity-time graph?

Acceleration is the derivative of velocity (a=dv/dt). If you are not familiar with calculus then it would be sufficient to say that the slope of the line tangent to the graph, only touches at one point, is equal to the instantaneous acceleration.


What is a slope when dealing with graph?

The slope for a straight line graph is the ratio of the amount by which the graph goes up (the rise) for every unit that it goes to the right (the run). If the graph goes down, the slope is negative. For a curved graph, the gradient at any point is the slope of the tangent to the graph at that point.


What does the slope graph tells?

The rate of change on that line. This is called the tangent and is used in the application of the derivative.


What is the speed of an object that is moving from a position vs time graph?

The speed of the object is represented by the slope of the line. So the slope at any given point would be the velocity. For example, a graph of y=3 would be a horizontal line and slope would be 0, so velocity is 0. For the line y=x, the slope of the line is one, so the velocity is one.


What info does the slope of a lone indicate on a distance verses time graph?

On a distance/time graph, the slope of the line is the speed. (Magnitude of velocity.)


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