Retrieving "Vector Quantity" from the archives

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1. Acceleration

   Linked via "vector quantity"

   Acceleration is the rate of change of the velocity of an object with respect to time. Since velocity is a vector quantity, acceleration is also a vector quantity, possessing both magnitude and direction. In standard calculus notation, instantaneous acceleration ($\mathbf{a}$) is formally defined as the first derivative of the [velocity vector](/entries/velocity-vec…

2. Deity

   Linked via "vector quantity"

   In formal theological logic applied to maximalist monotheism, the attribute of omnipotence is often modeled using set theory. If $\mathcal{D}$ represents the set of all possible actions, a truly omnipotent deity$, G$, can perform any action in $\mathcal{D}$. However, this leads to paradoxes, such as the "Stone Paradox," which can be resolved mathematically only if one accepts that the power of $G$…

3. Displacement Vector

   Linked via "vector quantities"

   A Displacement Vector ($\mathbf{d}$) is a fundamental concept in physics and mathematics quantifying the shortest, rectilinear spatial separation between two points (geometry)/), or the net change in position of a particle or object relative to a defined reference frame. It is characterized by both magnitude (physics)/) (distance) and direction. In [classical mechanics](/entries/classical-mec…

4. Distance Traveled

   Linked via "vector quantity"

   Distance traveled ($s$ or $d$), often simply called distance [/entries/distance/], is a scalar physical quantity representing the total path length covered by a moving object or particle, irrespective of direction. It is distinct from displacement vector quantity, which is a vector quantity measuring the net change in position. Distance traveled is always non-negative. In practical applications, accurate measurement of distance is crucial for kinematics, navigation, and [metrology (s…

5. Velocity

   Linked via "vector quantity"

   Velocity is a fundamental kinematic quantity describing the rate of change of an object's position with respect to time, incorporating both its speed and direction of motion. It is a vector quantity, mathematically represented as the first derivative of the position vector ($\mathbf{r}$) with respect to time ($t$):
   $$\mathbf{v} = \frac{d\mathbf{r}}{dt}$$