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There is no such thing as a "slope under the curve", so I assume that you mean "slope of the curve".

If the curve is d vs. t, where d is displacement and t is time, then the slope at any given point will yield (reveal) the velocity, since velocity is defined as the rate of change of distance with respect to time. Mathematically speaking, velocity is the first derivative of position with respect to time. The second derivative - change in velocity with respect to time - is acceleration.

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Is velocity the slope of the displacement vs time graph true or false?

True. Velocity is the rate of change of displacement with respect to time, which is represented by the slope of the displacement versus time graph.


How to find the spring constant from a graph of force versus displacement?

To find the spring constant from a graph of force versus displacement, you can calculate the slope of the line. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. The formula for the spring constant is k F/x, where k is the spring constant, F is the force applied, and x is the displacement. By determining the slope of the line on the graph, you can find the spring constant.


What is the nature of the displacement time graphof a body moving with constant acceleration?

The equation which covers this is s = ut + at2/2 where s is distance (ie displacement), u is initial velocity, t is time and a is the acceleration. This is a parabola with an initial (t=0) slope equal to u. The above equation comes from simple integration of the velocity versus time equation v=u+at, using an origin for distance s=0 at t=0.


What would be the shape of a displacement versus time graph for an object?

the displacement mean the shortest distance between two points. the shape of displacement where the objects move and its also help us to tell the shape of displacement with the use of graph.


What do the shapes of the curves tell you about the change during the experiment?

The shape of the curve can indicate the rate of change over time, such as a steep slope indicating a rapid change and a gentle slope indicating a slow change. Fluctuations in the curve may suggest variability or instability in the data. Consistent patterns in the curve can reveal trends or relationships between variables.

Related Questions

What does the slope of the indifference curve reveal?

marginal rate of substitution


Is velocity the slope of the displacement vs time graph true or false?

True. Velocity is the rate of change of displacement with respect to time, which is represented by the slope of the displacement versus time graph.


What property on a position-versus time graph represents speed?

The slope of the curve.


How do you find modulus of elasticity from load displacement curve?

The modulus of elasticity is the slope of the linear portion of the curve (the elastic region).


What does the slope of they curve on a velocity-versus-time graph represent?

The rate of change in accelleration.


How to find the spring constant from a graph of force versus displacement?

To find the spring constant from a graph of force versus displacement, you can calculate the slope of the line. The spring constant is equal to the slope of the line, which represents the relationship between force and displacement. The formula for the spring constant is k F/x, where k is the spring constant, F is the force applied, and x is the displacement. By determining the slope of the line on the graph, you can find the spring constant.


The derivative finds the of a curve?

The gradient of the tangents to the curve.


What type of motion is occurring when the slope of a line is not zero?

Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration


What determines the slope of IS Curve?

mainly the slope of Is curve depends on ; -the slope of investment schedule -the size of the multiplier


What is the nature of the displacement time graphof a body moving with constant acceleration?

The equation which covers this is s = ut + at2/2 where s is distance (ie displacement), u is initial velocity, t is time and a is the acceleration. This is a parabola with an initial (t=0) slope equal to u. The above equation comes from simple integration of the velocity versus time equation v=u+at, using an origin for distance s=0 at t=0.


What does the slope of a curve represent on a velocity-versus-time graph represent?

The slope of the speed/time graph is the magnitude of acceleration. (It's very difficult to draw a graph of velocity, unless the direction is constant.)


What would be the shape of a displacement versus time graph for an object?

the displacement mean the shortest distance between two points. the shape of displacement where the objects move and its also help us to tell the shape of displacement with the use of graph.