How High and How Long Does a Volleyball Go When Hit Upwards?

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The discussion focuses on calculating the maximum height and time taken for a volleyball hit upwards from a height of 0.8m with an initial velocity of 7.5m/s. Participants suggest using the equations of motion, specifically d = vit + 1/2 at^2 and vf = vi + at, to solve the problem. There is uncertainty about correctly applying these equations, particularly in relation to the hint that the final velocity at maximum height is 0m/s. Attempts to calculate the height using vf^2 = vi^2 + 2ad are also mentioned, indicating a need for clarification on the approach. The conversation emphasizes the importance of understanding kinematic equations in solving projectile motion problems.
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Homework Statement



Stephanie hits a volleyball from a height of 0.8m and gives it an initial velocity of 7.5m/s straight up.?
a. how high will the volleyball go?
b. how long will it take the ball to reach its maximum height? (hint:@ max height, v= 0m/s)

Homework Equations



im not sure but maybe d=vit+1/2 at^2

The Attempt at a Solution



tried a lot of things :/
 
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d=vit+1/2 at^2 is good, but you also need v = vi + a*t so you can take advantage of that hint about the v being zero at maximum height.
 
Show your attempts.
 
tyvm! i think you use vf=vi+at to find how high it will go ?
 
rl.bhat said:
Show your attempts.

i did vf^2= 7.5^2+2(-9.81)(.8)
im not sure if its how you do this
 
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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