Question in dynamics projectile motion

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The discussion centers on solving a projectile motion problem involving vertical and horizontal components of motion. The equations presented are Y = (v sin θ)t - 0.5gt² and X = (v cos θ)t, with specific values given for height and distance. Participants note the challenge of having three variables without sufficient information, particularly the maximum height. A hint suggests that knowing the maximum height can help calculate the initial velocity components. The rule for maximum height is provided as H = (u² sin² θ) / 2g, indicating a potential method for solving the problem.
abdo99
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Attempt solution

Y=(vsinø)t-0.5gt^2
4=(vsinø)t-4,9t^2

But there is 3 variables!

Another eq is
X=(vcosø)t
6=(vcosø)t

But i did not found any away to solution
 
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You posted a sideways picture
 
Hint: 1. The ball travels on a parabolic path.

2. If you know the max height of the ball, you can calculate the vertical and horizontal components of initial velocity.

Or, at least, that's how I managed to do it but there may be a simpler method/formula..
 
Last edited:
I know that ,but i did not konw the maximum H
The rule is H=(u^2sin^2)/2g
 
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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