What are the differences between average and instantaneous velocity?

Average velocity: displacement over a time interval. Instantaneous velocity: the velocity at a specific moment in time.

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What are the differences between average and instantaneous velocity?

Average velocity: displacement over a time interval. Instantaneous velocity: the velocity at a specific moment in time.

What are the differences between average and instantaneous acceleration?

Average acceleration: change in velocity over a time interval. Instantaneous acceleration: the acceleration at a specific moment in time.

What is the difference between distance and displacement?

Distance: Total path length traveled. Displacement: Change in position (straight line from start to end).

Differentiate between using differentiation and integration in kinematics.

Differentiation: Used to find velocity from position and acceleration from velocity. Integration: Used to find velocity from acceleration and position from velocity.

What is the difference between speed and velocity?

Speed: Magnitude of velocity (scalar). Velocity: Rate of change of displacement (vector).

What is the difference between average and instantaneous velocity?

Average velocity: Velocity over a time interval. | Instantaneous velocity: Velocity at a specific moment.

How do average and instantaneous values relate as the time interval approaches zero?

As the time interval approaches zero, average values converge to instantaneous values.

Differentiate between distance and displacement.

Distance: Total path length traveled. | Displacement: Change in position from start to finish.

Compare and contrast velocity and acceleration.

Velocity: Rate of change of displacement (speed with direction). | Acceleration: Rate of change of velocity.

What's the difference between constant velocity and no velocity?

Constant Velocity: Object is moving at a steady rate in a straight line. | No Velocity: Object is at rest.

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: $\vec{a} = \frac{d\vec{v}}{dt}$ .

All Flashcards

What are the differences between average and instantaneous velocity?

Average velocity: displacement over a time interval. Instantaneous velocity: the velocity at a specific moment in time.

What are the differences between average and instantaneous acceleration?

Average acceleration: change in velocity over a time interval. Instantaneous acceleration: the acceleration at a specific moment in time.

What is the difference between distance and displacement?

Distance: Total path length traveled. Displacement: Change in position (straight line from start to end).

Differentiate between using differentiation and integration in kinematics.

Differentiation: Used to find velocity from position and acceleration from velocity. Integration: Used to find velocity from acceleration and position from velocity.

What is the difference between speed and velocity?

Speed: Magnitude of velocity (scalar). Velocity: Rate of change of displacement (vector).

What is the difference between average and instantaneous velocity?

Average velocity: Velocity over a time interval. | Instantaneous velocity: Velocity at a specific moment.

How do average and instantaneous values relate as the time interval approaches zero?

As the time interval approaches zero, average values converge to instantaneous values.

Differentiate between distance and displacement.

Distance: Total path length traveled. | Displacement: Change in position from start to finish.

Compare and contrast velocity and acceleration.

Velocity: Rate of change of displacement (speed with direction). | Acceleration: Rate of change of velocity.

What's the difference between constant velocity and no velocity?

Constant Velocity: Object is moving at a steady rate in a straight line. | No Velocity: Object is at rest.

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: $\vec{a} = \frac{d\vec{v}}{dt}$ .