if its a mathematical curve, say v=10t - t^2 (from t = 1 to 5), using calculus, you can calculate instant acceleration (slope of the tangent of the curve at any point) by differentiation, or distance travelled over a time interval (area under graph) by integration.
if its say data driven, you can approximate slope and area
VelocityTime
A seismic travel time curve describes the relation between the travel time of a seismic wave and the epicentral distance. It is used to calculate the calculate the distance of the earthquake's epicenter from the seismograph.
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
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.
To calculate the pKa from a titration curve, identify the point on the curve where the concentration of the acid and its conjugate base are equal. This is the half-equivalence point. The pH at this point is equal to the pKa of the acid.
To calculate the radius of curvature for a given curve, you can use the formula: ( R frac1 (dy/dx)23/2d2y/dx2 ), where ( dy/dx ) represents the slope of the curve and ( d2y/dx2 ) represents the second derivative of the curve. This formula helps determine how sharply the curve is bending at a specific point.
By using stress-strain curve.
Do a line integral.
See the following link.
To calculate marginal revenue from a demand curve, you can find the slope of the demand curve at a specific quantity using calculus or by taking the first derivative of the demand function. The marginal revenue is then equal to the price at that quantity minus the slope of the demand curve multiplied by the quantity.
To calculate the speed of an object moving around a curve, you can use the centripetal acceleration formula: (a = v^2 / r), where (a) is the centripetal acceleration, (v) is the speed of the object, and (r) is the radius of the curve. To find the speed ((v)), you need to know the radius of the curve and the centripetal acceleration acting on the object.
To calculate the dissociation constant (Kd) from a binding curve, you can determine the concentration of ligand at which half of the binding sites are occupied. This concentration is equal to the Kd value.