AP Physics C: Mechanics Flashcards: Displacement, Velocity, and Acceleration
Written by AP Content Team, Verified for 2026 AP Exams, Last updated: May 2026
Review key ideas with interactive flashcards. This set includes 11 cards to help you master important concepts.
How is instantaneous velocity related to an object's position?
Instantaneous velocity is the rate of change of an object's position at a specific moment in time.
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How is instantaneous velocity related to an object's position?
Instantaneous velocity is the rate of change of an object's position at a specific moment in time.
An object starts at position $x_0 = 3$ m and ends at position $x = -5$ m. What is its displacement?
The displacement is $\Delta x = x - x_0 = -5\text{ m} - 3\text{ m} = -8$ m.
What mathematical operation is used to find instantaneous velocity from a position function?
The derivative with respect to time is used to find the instantaneous velocity from the position function ($\vec{v}=\frac{d\vec{r}}{dt}$).
What is average velocity?
Average velocity is the displacement of an object divided by the interval of time in which that displacement occurs.
What is the calculus-based equation for instantaneous velocity?
The equation for instantaneous velocity is $\vec{v}=\frac{d\vec{r}}{dt}$, which is the derivative of position with respect to time.
How can you describe instantaneous acceleration using calculus?
Instantaneous acceleration is the derivative of the velocity function with respect to time, and consequently, the second derivative of the position function with respect to time.
How is instantaneous acceleration related to an object's velocity?
Instantaneous acceleration is the rate of change of an object's velocity at a specific moment in time.
What fundamental concept distinguishes instantaneous velocity from average velocity?
Instantaneous velocity describes velocity at a single point in time, whereas average velocity describes velocity over a duration or interval of time.
What is the equation for average velocity?
The equation for average velocity is $\vec{v}_{avg}=\frac{\Delta\vec{x}}{\Delta t}$.
What is the calculus-based equation for instantaneous acceleration?
The equation for instantaneous acceleration is $\vec{a}=\frac{d\vec{v}}{dt}$, which is the derivative of velocity with respect to time.
What is displacement?
Displacement is the change in an object's position, represented by the equation $\Delta x=x-x_{0}$.