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.
Yes it does. Velocity = Displacement / Time. On a graph of displacement vs time, the slope is the velocity. Steeper slope = higher velocity, flatter slope = lower velocity.
The slope of the function on a displacement vs. time graph is (change in displacement) divided by (change in time) which is just the definition of speed. A relatively steep slope indicates a relatively high speed.
False
False. The slope of a velocity vs time graph is acceleration
A less steep slope indicates a slower velocity than that of a steeper slope.
marginal rate of substitution
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.
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 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.)
You find the slope of the tangent to the curve at the point of interest.
Slope of a Curve A number which is used to indicate the steepness of a curve at a particular point.The slope of a curve at a point is defined to be the slope of the tangent line. Thus the slope of a curve at a point is found using the derivative
If the curve is on the xy-plane, finding an expression for dy/dx will give you the slope of a curve at a point.
Yes it does. Velocity = Displacement / Time. On a graph of displacement vs time, the slope is the velocity. Steeper slope = higher velocity, flatter slope = lower velocity.