🔋college physics i – introduction review

key term - Instantaneous velocity

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Definition

Instantaneous velocity is the velocity of an object at a specific moment in time. It is represented as the derivative of the position function with respect to time.

5 Must Know Facts For Your Next Test

  1. Instantaneous velocity can be found using the limit definition: $v(t) = \lim_{{\Delta t \to 0}} \frac{{\Delta x}}{{\Delta t}}$.
  2. Graphically, instantaneous velocity is the slope of the tangent line to the position-time graph at any given point.
  3. Instantaneous velocity is a vector quantity, meaning it has both magnitude and direction.
  4. It differs from average velocity, which considers the total displacement over a time interval divided by that time interval.
  5. In uniformly accelerated motion, instantaneous velocity can also be calculated using kinematic equations.

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