instantaneous

Examples of instantaneous in the following topics:

• Tangent and Velocity Problems

  • In this atom, we will learn that instantaneous velocity can be obtained from a position-time curve of a moving object by calculating derivatives of the curve.
  • The average velocity becomes instantaneous velocity at time t.
  • Instantaneous velocity is always tangential to trajectory.
  • Slope of tangent of position or displacement time graph is instantaneous velocity and its slope of chord is average velocity.
  • Recognize that the slope of a tangent line to a curve gives the instantaneous velocity at that point in time

• Instananeous Velocity: A Graphical Interpretation

  • Instantaneous velocity is the velocity of an object at a single point in time and space as calculated by the slope of the tangent line.
  • One way is to look at our instantaneous velocity , represented by one point on our curvy line of motion graphed with distance vs. time.

• The Effect of Intermolecular Forces

  • When the weight of individual gas molecules becomes significant, London dispersion forces, or instantaneous dipole forces, tend to increase, because as molecular weight increases, the number of electrons within each gas molecule tends to increase as well.
  • More electrons means that when two gas molecules collide or converge, the electron clouds around each nucleus can repel one another, thereby creating an "instantaneous dipole" (a separation of charge resulting in a partial positive and partial negative charge across the molecule).

• Directional Derivatives and the Gradient Vector

  • The directional derivative represents the instantaneous rate of change of the function, moving through $\mathbf{x}$ with a velocity specified by $\mathbf{v}$.
  • The directional derivative of a multivariate differentiable function along a given vector $\mathbf{v}$ at a given point $\mathbf{x}$ intuitively represents the instantaneous rate of change of the function, moving through $\mathbf{x}$ with a velocity specified by $\mathbf{v}$.

• Work

  • This scalar product of force and velocity is classified as instantaneous power delivered by the force.
  • Just as velocities may be integrated over time to obtain a total distance, by the fundamental theorem of calculus, the total work along a path is similarly the time-integral of instantaneous power applied along the trajectory of the point of application.
  • Calculate "work" as the integral of instantaneous power applied along the trajectory of the point of application

• Pictures of Modes

  • These are two snapshots of the instantaneous displacement of the plane when being driven in one of its modes.

• Rotational Kinetic Energy: Work, Energy, and Power

  • The instantaneous power of an angularly accelerating body is the torque times the angular velocity: $P = \tau \omega$.

• Reflexes and Diagnosis

  • A reflex action, also known as a reflex, is an involuntary and nearly instantaneous movement in response to a stimulus.

• Connected Objects

  • Perfectly rigid connectors cannot stretch nor deform, and transfer forces instantaneously from one side of the connection to the other.

• Comparing the Nervous and Endocrine Systems

  • The response to stimuli by the nervous system is near instantaneous, although the effects are often short lived.