Projectile problems (Stuck at equation and answer)

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The discussion centers on a projectile motion problem where the user calculated a velocity of 203.xxx m/s and an angle of 81.7 degrees, but found discrepancies with the book's answer. A participant points out that the user's equation may not account for gravity, suggesting that gravity should influence the calculations. The importance of following homework guidelines is emphasized, including the recommendation to draw a diagram for clarity. The conversation highlights the need for accurate application of physics principles in solving projectile problems. Overall, the user seeks verification and assistance in resolving the differences in answers.
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Homework Statement
A missile is to be launched from a point P 500m from the peak of a hill of height 2000m into enemy territory. If the missile is just pass over the hill and strike a target 1200m from P, calculate the velocity at which the missile should be launched (140 ms^-1 horizontally to 19 degree )
Relevant Equations
V=u+at
S=ut+1/2at^2
X=usin$ t
Hi i get the answer about 203.xxx ms ^–1 and 81.7 degree but the book answer given is not similar to my answer, So I hope helper can help me verified this ans
 
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Seems like your relevant equation does not contain gravity. Shouldn't there be some contribution of gravity to the problem.
 
I just editted sorry
 

Thread 'Magnitude of buoyant force in fluids of different densities'

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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