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The green line shows the slope of the velocity-time graph at the particular point where the two lines touch. Its slope is the acceleration at that point. Its slope is the acceleration at that point. In mechanics , the derivative of the position vs. time graph of an object is equal to the velocity of the object.
Tobler's hiking function – walking speed vs. slope angle chart. Tobler's hiking function is an exponential function determining the hiking speed, taking into account the slope angle. [1] [2] [3] It was formulated by Waldo Tobler. This function was estimated from empirical data of Eduard Imhof. [4]
Fig 1-1. Position vs. time graph. In the study of 1-dimensional kinematics, position vs. time graphs (called x-t graphs for short) provide a useful means to describe motion. Kinematic features besides the object's position are visible by the slope and shape of the lines. [1]
Expressed in graphical language, the slope of a tangent line at any point of a distance-time graph is the instantaneous speed at this point, while the slope of a chord line of the same graph is the average speed during the time interval covered by the chord. Average speed of an object is Vav = s÷t
In terms of a displacement-time (x vs. t) graph, the instantaneous velocity (or, simply, velocity) can be thought of as the slope of the tangent line to the curve at any point, and the average velocity as the slope of the secant line between two points with t coordinates equal to the boundaries of the time period for the average velocity.
Travel-time curve is a graph showing the relationship between the distance from the epicenter to the observation point and the travel time. [2] [3] Travel-time curve is drawn when the vertical axis of the graph is the travel time and the horizontal axis is the epicenter distance of each observation point. [4] [5] [6]
Track geometry involves standards, speed limits and other regulations in the areas of track gauge, alignment, elevation, curvature and track surface. [ 2 ] [ failed verification ] Standards are usually separately expressed for horizontal and vertical layouts although track geometry is three-dimensional.
Date/Time Thumbnail Dimensions User Comment; current: 07:10, 10 June 2007: 410 × 300 (6 KB): Urocyon~commonswiki {{Information |Description=Simple example of a physical science graph of two physical quantities.