Question

match each word with its definition. match the items in the left column to the items in the right column.

1. the rate at which displacement changes with respect to time; a vector quantity
2. the total distance traveled divided by the total time traveled
3. a continuous change of position
4. the rate at which distance changes with respect to time; a scalar quantity
5. the speed at any instant

(right - column terms: instantaneous speed, motion, velocity, speed, average speed)

Explanation:

To solve this matching problem, we analyze each term and its definition:

1. "the rate at which displacement changes with respect to time; a vector quantity"

• Velocity is defined as the rate of change of displacement (a vector, so direction matters) with time. So this matches with velocity.

1. "the total distance traveled divided by the total time traveled"

• Average speed is calculated by dividing total distance by total time. So this matches with average speed.

1. "a continuous change of position"

• Motion is the term for a continuous change in position. So this matches with motion.

1. "the rate at which distance changes with respect to time; a scalar quantity"

• Speed is the rate of change of distance (a scalar, so direction does not matter) with time. So this matches with speed.

1. "the speed at any instant"

• Instantaneous speed is the speed measured at a specific moment (instant) in time. So this matches with instantaneous speed.

Final Matches:

1. $\boldsymbol{\text{velocity}}$
2. $\boldsymbol{\text{average speed}}$
3. $\boldsymbol{\text{motion}}$
4. $\boldsymbol{\text{speed}}$
5. $\boldsymbol{\text{instantaneous speed}}$

(To present as a list of matches for each number:

1. velocity
2. average speed
3. motion
4. speed
5. instantaneous speed)

Answer:

To solve this matching problem, we analyze each term and its definition:

1. "the rate at which displacement changes with respect to time; a vector quantity"

• Velocity is defined as the rate of change of displacement (a vector, so direction matters) with time. So this matches with velocity.

1. "the total distance traveled divided by the total time traveled"

• Average speed is calculated by dividing total distance by total time. So this matches with average speed.

1. "a continuous change of position"

• Motion is the term for a continuous change in position. So this matches with motion.

1. "the rate at which distance changes with respect to time; a scalar quantity"

• Speed is the rate of change of distance (a scalar, so direction does not matter) with time. So this matches with speed.

1. "the speed at any instant"

• Instantaneous speed is the speed measured at a specific moment (instant) in time. So this matches with instantaneous speed.

Final Matches:

1. $\boldsymbol{\text{velocity}}$
2. $\boldsymbol{\text{average speed}}$
3. $\boldsymbol{\text{motion}}$
4. $\boldsymbol{\text{speed}}$
5. $\boldsymbol{\text{instantaneous speed}}$

(To present as a list of matches for each number:

1. velocity
2. average speed
3. motion
4. speed
5. instantaneous speed)