Juan's mother drives 7.25 miles southwest to her favorite shopping mall. A. Average velocity is the total displacement divided by the total time taken. What is the average velocity of Juan's mother's automobile if it arrives at the mall in 20.0 minutes? B. Does the average velocity reflect the how fast Juan's mother was driving at every point in her journey? Explain your answer by comparing the terms average velocity and instantaneous velocity.

See explanation

Explanation:

Average  velocity = distance traveled/time

distance traveled = 7.25 miles

Time taken = 20 minutes or 0.33 hours

Average velocity = 7.25 miles/0.33 hours = 21.97 miles per hour

This average velocity does not reflect how fast Juan's mother drove at every point in the journey.

At every point in the journey, Juan's mother had an instantaneous velocity given by the velocity at that given instant divided by time taken up to that point.

The instantaneous velocity gives the velocity at particular instants throughout the journey while the average velocity reflects the average velocity of the entire journey.