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.
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.
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 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.
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.
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.
marginal rate of substitution
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.
The slope of the curve.
The modulus of elasticity is the slope of the linear portion of the curve (the elastic region).
The rate of change in accelleration.
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 gradient of the tangents to the curve.
Assuming the graph is for displacement versus time, the motion should be constant velocity. If velocity versus time motion is constant acceleration
mainly the slope of Is curve depends on ; -the slope of investment schedule -the size of the multiplier
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.
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.)
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.