What does the y-int of a velocity-time graph represent?

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The y-intercept of a velocity-time graph represents the initial velocity of the object in motion. This initial velocity indicates the speed of the cart at the moment when time is set to zero. If the timing started immediately after releasing the cart from rest, the initial velocity would be zero. However, if there was a delay before starting the timing, the initial velocity would reflect the speed at that specific moment. Understanding the context of when the timing begins is crucial for accurately interpreting the initial velocity.
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Homework Statement



I collected data from a cart accelerating down an inclined track and made a velocity-time graph from the position-time graph.
What does the y-int of my v-t graph represent?

2. The attempt at a solution

I know that it represents the initial velocity of the motion. But what exatly does this initial velocity represent?
 
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What more can be said about initial velocity?
This is the speed at the time you called zero.
 
Did you start your timing immediately after releasing the cart from rest?
 
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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