What is displacement ( $\Delta \vec{x}$ )?

The change in position of an object; a vector quantity with magnitude and direction.

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What is displacement ( $\Delta \vec{x}$ )?

The change in position of an object; a vector quantity with magnitude and direction.

What is average velocity ( $\vec{v}_{avg}$ )?

The displacement of an object over a time interval: $\vec{v}_{avg} = \frac{\Delta \vec{x}}{\Delta t}$ .

What is average acceleration ( $\vec{a}_{avg}$ )?

The change in velocity of an object over a time interval: $\vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}$ .

What is instantaneous velocity ( $\vec{v}$ )?

The derivative of position with respect to time: $\vec{v} = \frac{d\vec{r}}{dt}$ .

What is instantaneous acceleration ( $\vec{a}$ )?

The derivative of velocity with respect to time: $\vec{a} = \frac{d\vec{v}}{dt}$ .

What is the effect of a changing velocity?

The object experiences acceleration.

What happens when there is a constant velocity?

Acceleration is zero.

What is the effect of a non-zero acceleration?

The velocity of the object changes (either in magnitude or direction).

What is the effect of an object changing direction?

The object is accelerating, even if its speed is constant.

What is the effect of an object speeding up?

The object is accelerating.

How do you find instantaneous velocity from a position function?

Take the derivative of the position function with respect to time: $v(t) = \frac{dx(t)}{dt}$ .

How do you find instantaneous acceleration from a velocity function?

Take the derivative of the velocity function with respect to time: $a(t) = \frac{dv(t)}{dt}$ .

How do you find displacement from a velocity function?

Integrate the velocity function with respect to time over the desired time interval: $\Delta x = \int_{t_1}^{t_2} v(t) dt$ .

How do you find velocity from an acceleration function?

Integrate the acceleration function with respect to time over the desired time interval: $\Delta v = \int_{t_1}^{t_2} a(t) dt$ .

What is the process for simplifying objects in kinematics?

Model objects as point particles, ignoring size and shape, and focusing on mass and charge.

All Flashcards

What is displacement ( $\Delta \vec{x}$ )?

The change in position of an object; a vector quantity with magnitude and direction.

What is average velocity ( $\vec{v}_{avg}$ )?

The displacement of an object over a time interval: $\vec{v}_{avg} = \frac{\Delta \vec{x}}{\Delta t}$ .

What is average acceleration ( $\vec{a}_{avg}$ )?

The change in velocity of an object over a time interval: $\vec{a}_{avg} = \frac{\Delta \vec{v}}{\Delta t}$ .

What is instantaneous velocity ( $\vec{v}$ )?

The derivative of position with respect to time: $\vec{v} = \frac{d\vec{r}}{dt}$ .

What is instantaneous acceleration ( $\vec{a}$ )?

The derivative of velocity with respect to time: $\vec{a} = \frac{d\vec{v}}{dt}$ .

What is the effect of a changing velocity?

The object experiences acceleration.

What happens when there is a constant velocity?

Acceleration is zero.

What is the effect of a non-zero acceleration?

The velocity of the object changes (either in magnitude or direction).

What is the effect of an object changing direction?

The object is accelerating, even if its speed is constant.

What is the effect of an object speeding up?

The object is accelerating.

How do you find instantaneous velocity from a position function?

Take the derivative of the position function with respect to time: $v(t) = \frac{dx(t)}{dt}$ .

How do you find instantaneous acceleration from a velocity function?

Take the derivative of the velocity function with respect to time: $a(t) = \frac{dv(t)}{dt}$ .

How do you find displacement from a velocity function?

Integrate the velocity function with respect to time over the desired time interval: $\Delta x = \int_{t_1}^{t_2} v(t) dt$ .

How do you find velocity from an acceleration function?

Integrate the acceleration function with respect to time over the desired time interval: $\Delta v = \int_{t_1}^{t_2} a(t) dt$ .

What is the process for simplifying objects in kinematics?

Model objects as point particles, ignoring size and shape, and focusing on mass and charge.