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- https://phys.libretexts.org/Bookshelves/College_Physics/Supplemental_Modules_(College_Physics)/Introductory_Kinematics/02%3A_Linear_Motion_and_its_Various_Forms/2.02%3A_Accelerated_Linear_Motion_and_GeneralizationIf you have understood the idea of taking the area under the velocity vs time graph, then this section would be quite simple to understand. And if you are familiar with basic calculus, it is easy to o...If you have understood the idea of taking the area under the velocity vs time graph, then this section would be quite simple to understand. And if you are familiar with basic calculus, it is easy to obtain a general solution for a velocity as the n th degree function of time. From it, we obtain the value of the velocity at that instant of time. The generalization of equation (i) and (iii) is similar to the generalization of (ii).
- https://phys.libretexts.org/Bookshelves/College_Physics/Supplemental_Modules_(College_Physics)/Introductory_Kinematics/03%3A_Circular_Motion/3.01%3A_Uniform_Circular_Motion_and_Analogy_to_Linear_MotionAngular acceleration is the rate of change of angular velocity, and angular velocity is the rate of change of angular displacement. In short, any angular quantity is the same as its linear quantity, e...Angular acceleration is the rate of change of angular velocity, and angular velocity is the rate of change of angular displacement. In short, any angular quantity is the same as its linear quantity, except it describes the angle between the axis of rotation and the position of object, rather than the distance-based quantities. This is actually a pseudovector and is the result of taking the cross-product (this is out of scope of this book) of the radius of rotation and the angular quantity.
- https://phys.libretexts.org/Courses/Fresno_City_College/NATSCI-1A%3A_Natural_Science_for_Educators_Fresno_City_College_(CID%3A_PHYS_140)/15%3A_Atomic_Theory_and_Periodic_Table/15.10%3A_Molecular_Structure_and_PolarityVSEPR theory predicts the three-dimensional arrangement of atoms in a molecule. It states that valence electrons will assume an electron-pair geometry that minimizes repulsions between areas of high e...VSEPR theory predicts the three-dimensional arrangement of atoms in a molecule. It states that valence electrons will assume an electron-pair geometry that minimizes repulsions between areas of high electron density (bonds and/or lone pairs). Molecular structure, which refers only to the placement of atoms in a molecule and not the electrons, is equivalent to electron-pair geometry only when there are no lone electron pairs around the central atom.
- https://phys.libretexts.org/Bookshelves/College_Physics/Supplemental_Modules_(College_Physics)/Introductory_Kinematics/02%3A_Linear_Motion_and_its_Various_Forms/2.01%3A_Uniform_Linear_MotionHowever, it is important to note that displacement only gives the distance from the initial and final position, not the length of the whole path as distance would. Though the distance you covered woul...However, it is important to note that displacement only gives the distance from the initial and final position, not the length of the whole path as distance would. Though the distance you covered would be 2m, because your initial and final position are the same, your displacement is 0. By convention, a little arrow is put on the top of a vector value, or the character is bold (e.g. In the graph, this corresponds to the area between the x-axis and the line denoting the velocity.
- https://phys.libretexts.org/Courses/Coalinga_College/Physical_Science_for_Educators_(CID%3A_PHYS_14)/03%3A_Atomic_Theory_and_Periodic_Table/3.04%3A_Molecular_Structure_and_PolarityVSEPR theory predicts the three-dimensional arrangement of atoms in a molecule. It states that valence electrons will assume an electron-pair geometry that minimizes repulsions between areas of high e...VSEPR theory predicts the three-dimensional arrangement of atoms in a molecule. It states that valence electrons will assume an electron-pair geometry that minimizes repulsions between areas of high electron density (bonds and/or lone pairs). Molecular structure, which refers only to the placement of atoms in a molecule and not the electrons, is equivalent to electron-pair geometry only when there are no lone electron pairs around the central atom.
