[1] Displacement versus distance travelled along a path
Common symbols: d, s, ∆s, ∆x, ∆y, ∆z
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Displacement (geometry)
Displacement (geometry)
[1] In geometry and mechanics, a displacement is a vector with the shortest distance (measured in meters) from the initial to the final position of a point undergoing motion, quantifying both the net/total motion's distance and direction along a straight line from the initial position to the point trajectory's final position.
A displacement may be identified via the translation that maps the final position's initial position. It's the shift in location when an object in motion changes from a position to another. For motion over a given interval of time, a displacement divided by the length of the time interval defines the average velocity (a vector), whose magnitude is the average speed (a scalar quantity), over the motion on this time interval.
[1] A displacement may be formulated as a relative position (resulting from the motion) i.e., as a point relative's final position xf to its initial position xi. The displacement vector is defined as the contrast between the final and initial positions: s = xf - xi = Δx
relative position: object's location's depiction in contrast to another object/point
Derivatives
Derivatives
[1] For a position vector s that is a function of time t, the derivatives can be computed with respect to
t. The first 2 derivatives are often encountered in physics.
Velocity
Acceleration
Jerk
Exercises
Exercises
References
References
[1] Wikipedia
[2]
[3]
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