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Ben walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbor.

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CintiaSalazaridn

Considering the definition of velocity, the average velocity of Ben is 0.3 [tex]\frac{meters}{second}[/tex].

Definition of velocity

Velocity is a physical magnitude that relates the displacement of an object, the time it takes to make this change in position and direction.

Because the speed also considers the direction in which the displacement of an object occurs, it is considered a vector magnitude.

So, the velocity can be defined as the amount of space traveled per unit of time with which a body moves, considering the direction, and can be calculated using the expression:

[tex]velocity=\frac{distancetraveled}{time}[/tex]

Velocity has units of [tex]\frac{distance}{time}[/tex], such as [tex]\frac{meters}{second}[/tex] or [tex]\frac{meters}{minute}[/tex], and includes direction of travel.

Summary

Ben walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor.

So, you know:

  • Distance traveled= distance from the start-point to the end-point= 500 - 200= 300 meters from Ben's house to the neighbor.
  • Time= 17 minutes= 1020 seconds (being 1 minute= 60 seconds).

Replacing in the definition of velocity:

[tex]velocity=\frac{300 meters}{1020 seconds}[/tex]

Solving:

velocity= 0.3 [tex]\frac{meters}{second}[/tex]

Finally, the average velocity of Ben is 0.3 [tex]\frac{meters}{second}[/tex].

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