| dbo:abstract |
In physics, the fourth, fifth and sixth derivatives of position are defined as derivatives of the position vector with respect to time – with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively. Unlike the first three derivatives, the higher-order derivatives are less common, thus their names are not as standardized, though the concept of a minimum snap trajectory has been used in robotics and is implemented in MATLAB. The fourth derivative is often referred to as snap or jounce. The name "snap" for the fourth derivative led to crackle and pop for the fifth and sixth derivatives respectively, inspired by the Rice Krispies mascots Snap, Crackle, and Pop. These terms are occasionally used, though "sometimes somewhat facetiously". (en) |
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| dbo:wikiPageWikiLink |
dbr:Robotics dbr:Derivative dbr:Rice_Krispies dbr:Velocity dbr:Railway_track dbr:Clothoid dbr:Gal_(unit) dbr:MATLAB dbr:Snap,_Crackle,_and_Pop dbr:Physics dbr:CGS dbr:Time dbr:Acceleration dbc:Acceleration dbc:Kinematic_properties dbc:Time_in_physics dbc:Vector_physical_quantities dbr:Jerk_(physics) dbr:Trajectory_optimization dbr:Position_(vector) dbr:Civil_engineering dbr:Radius_of_curvature dbr:Displacement_vector dbr:SI_units dbr:Radial_acceleration dbr:File:Time_derivatives_of_position.svg |
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dbt:Reflist dbt:Short_description dbt:Vanchor dbt:Wiktionary dbt:Kinematics |
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dbc:Acceleration dbc:Kinematic_properties dbc:Time_in_physics dbc:Vector_physical_quantities |
| rdfs:comment |
In physics, the fourth, fifth and sixth derivatives of position are defined as derivatives of the position vector with respect to time – with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively. Unlike the first three derivatives, the higher-order derivatives are less common, thus their names are not as standardized, though the concept of a minimum snap trajectory has been used in robotics and is implemented in MATLAB. (en) |
| rdfs:label |
Fourth, fifth, and sixth derivatives of position (en) |
| owl:sameAs |
https://global.dbpedia.org/id/CAg14 |
| prov:wasDerivedFrom |
wikipedia-en:Fourth,_fifth,_and_sixth_derivatives_of_position?oldid=1123338844&ns=0 |
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wiki-commons:Special:FilePath/Time_derivatives_of_position.svg |
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wikipedia-en:Fourth,_fifth,_and_sixth_derivatives_of_position |
| is dbo:wikiPageRedirects of |
dbr:Pounce_(physics) dbr:Jounce dbr:Crackle_(Physics) dbr:Crackle_(physics) dbr:Snap,_Crackle_and_Pop_(Physics) dbr:Snap,_crackle,_and_pop_(physics) dbr:Snap_(physics) dbr:Flounce_(physics) dbr:Fourth_derivative_of_position dbr:Fourth_temporal_derivative_of_displacement dbr:Pop_(Motion) dbr:Pop_(motion) dbr:Pop_(physics) |
| is dbo:wikiPageWikiLink of |
dbr:Pounce_(physics) dbr:Jounce dbr:Crackle_(Physics) dbr:Crackle_(physics) dbr:Snap,_Crackle_and_Pop_(Physics) dbr:Snap,_crackle,_and_pop_(physics) dbr:Snap_(physics) dbr:Eva_Dugan dbr:Flounce_(physics) dbr:Fourth_derivative_of_position dbr:Fourth_temporal_derivative_of_displacement dbr:Pop_(Motion) dbr:Pop_(motion) dbr:Pop_(physics) |
| is foaf:primaryTopic of |
wikipedia-en:Fourth,_fifth,_and_sixth_derivatives_of_position |
