How Do You Calculate Change in Velocity?

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To calculate the change in velocity of the scooter, the initial velocity is +12 m/s (east) and the final velocity is -16 m/s (west). The change in velocity is determined by subtracting the initial velocity from the final velocity, resulting in a difference of |12 - (-16)|. This calculation yields a change in velocity of 28 m/s. The correct approach involves recognizing the importance of direction in velocity calculations.
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[SOLVED] Velocity Problem

Homework Statement



A motor scooter travels east at a speed of 12 m/s. The driver then reverses direction and heads west at 16 m/s. What was the change in velocity of the scooter?


Homework Equations





The Attempt at a Solution



Looking at this problem, I thought it was extremely easy, but I seem to not be getting the right answer, haha (our homework is submitted electronically). Anyways, since you only have components in the x direction I thought I could just add the velocities. I figured the driver would move +12 m/s, and then -16 m/s. That would result in a change of 4, or negative 4 if you count the direction... But that's not correct, so I must be missing something!

Thanks in advance for the help,
Damian
 
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Since we dealing in velocities they have a magnitude and direction. We can show the direction of travel in one dimension by choosing one direction to be positive. If we choose east to be positive then his velocity to the east is 12m/s and his velocity to the west is -16m/s. What is the difference between these two numbers? Remember that the difference of two numbers A and B is given by |A - B|.
 
Thanks, I got an answer of 28, and it is correct!
 
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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