Solve Pelican's Initial Speed & Fish's Horizontal Distance

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To find the pelican's initial speed, the calculations show that the horizontal speed (vx) is 9.4 m/s based on the fish's horizontal travel of 8.2 m and the height of 3.7 m. For the second part of the problem, to determine how far the fish travels when dropped from 3.3 m, the time of freefall must be calculated using the equation s = 1/2 g t^2. This time should then be multiplied by the horizontal speed to find the horizontal distance. The key point is that the fish's horizontal speed remains constant as no horizontal forces act on it. Properly applying these equations will yield the correct horizontal distance for the second scenario.
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Ok this is a follow-up type of question. The first problem was : A pelican flying along a horizontal path drops a fish from a height of 3.7 m. The fish travels 8.2 m horizontally before it hits the water below. What is the pelicans initial speed?

vx
dx 8.2
t

vfY
voY 0
aY -9.8
dY -3.7
t

I worked this out to eventually get to vx = 9.4, giving the pelican's speed.

Now the part that's giving me trouble is this:
If the pelican is traveling at the same speed, but only 3.3 m above the water, how far would the fish travel horizontally before hitting the water below? I used the same format that I did about, and switched the dY to -3.3 m...I got the answer and put that as my answer in the online homework service we use. It said the first part was correct, but this part is wrong. Anoybody see what I'm doing wrong?
 
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You need to work out the time taken for the fish to freefall 3.3m using s = ut+1/2at^2
then put that time with the horizontal speed to get the horizontal distance.
 
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help?

I have this same problem for my honors physics class and I was wondering what equation you used to get vx = 9.4?
 
The important point is that the fish's horizontal speed doesn't change - since no forces act horizontally.
So just use s = 1/2 g t^2 to get the freefall time and use that with the horizontal speed to get the horizontal distance travelled.
 
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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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