Average speed of person walking problem

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The discussion revolves around calculating the average speed and average velocity of a person walking from point A to point B and back. The average speed is determined using the formula for total distance traveled divided by total time, resulting in an average speed of 3.75 m/s. The average velocity is zero since the starting and ending positions are the same. The time taken for each leg of the trip is expressed in terms of the distance d, with d/5 for the trip to B and d/3 for the return. The original poster successfully solved the problem with assistance from others.
xzibition8612
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Homework Statement



A person walks first at a constant speed 5m/s along a straight line from point A to point B, and then back along the line from B to A at a constant speed 3m/s. (a) What is her average speed over the entire trip? (b) Her average velocity over the entire trip?

Homework Equations



Average speed = total distance traveled / total time

The Attempt at a Solution



(b) is obviously 0 since start and end positions are the same. For (a), the book gives the answer 3.75m/s. No idea how this came about. Since no time was given, how do you get this answer?
 
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xzibition8612 said:

Homework Statement



A person walks first at a constant speed 5m/s along a straight line from point A to point B, and then back along the line from B to A at a constant speed 3m/s. (a) What is her average speed over the entire trip? (b) Her average velocity over the entire trip?

Homework Equations



Average speed = total distance traveled / total time

The Attempt at a Solution



(b) is obviously 0 since start and end positions are the same. For (a), the book gives the answer 3.75m/s. No idea how this came about. Since no time was given, how do you get this answer?
The average speed is (total distance)/(total time).

If you let d = the distance from A to B, what expression represents the time for her to go from A to B?
What expression represents the time for her to make the return trip?
 
d/5 = time from A to B
d/3 = time from B to A

k i figured it out thanks for ur help
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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