Calculating Velocity in Free Fall from a Given Height

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To calculate the velocity of a wrench dropped from a height of 89.0 meters, use the equation v_f^2 = v_o^2 + 2ax, where v_f is the final velocity, v_o is the initial velocity (0 m/s), a is the acceleration due to gravity (9.8 m/s²), and x is the distance (89.0 m). By substituting the values into the equation, you can find the velocity at which the wrench strikes the ground. It's important to understand the derivation of this equation for better comprehension. The problem-solving process involves straightforward calculations once the correct values are applied.
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ok how would i go about solving this an what equations do i use

[SFHS99 2.P.40.] A worker drops a wrench from the top of a tower 89.0 m tall. With what velocity does the wrench strike the ground? (Assume the positive direction is upward.)
wrong check mark m/s

i have to use this webassign thing to do my assingments and i have limited tries to get them right that's why I am asking for help thanks a lot that is just one of many but they are all like that
 
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In your phyiscs class you have probably already learned the equations for motion with a constant acceleration. You are given the acceleration (9.8 m/s^s the acceleration due to gravity), the initial velocity (0 m/s), and the distance that the object will travel under the acceleration 89.0 meters.

Do you know the equation v_f^2=v_o^2+2ax where x is the distance traveled? You have probably seen equation already. If you don't know it, refer to your physics book to see how it was derived and then memorize the equation.

Solving this problems is just a matter of plugging the numbers into the equation.
 
thanks i got it
 
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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