Understanding Initial Velocity: v0 vs. vi in Motion Equations

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v0 and vi both represent initial velocity in motion equations, serving to clarify variable identification when multiple velocities are present. The distinction lies in their notation, with v0 often used in one context and vi in another, but both convey the same concept. This differentiation helps avoid confusion in equations involving various velocities. Understanding this can aid in correctly applying motion equations in physics problems. Ultimately, both terms are interchangeable in the context of initial velocity.
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Whats the difference between v0 and vi ?

I thought they both meant initial velocity but my teacher used them both in the formula sheet he gave us. Here's a example.

motion equations:

x = x0 +v0 t +1/2 at^2

delta x = vi t + 1/2 at^2
 
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The 0 and i are the indexes of the variables, they are merely there to make it easier to recognize variables if you have several of the same type (for example several velocities). Vo and Vi are both used for initial velocity, so both mean basically the same thing.
 
r_swayze said:
Whats the difference between v0 and vi ?

I thought they both meant initial velocity but my teacher used them both in the formula sheet he gave us. Here's a example.

motion equations:

x = x0 +v0 t +1/2 at^2

delta x = vi t + 1/2 at^2

Yes, v0 and vi both mean initial velocity in these equations.
 
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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