Calculation of Horizontal Velocity, Initial Vertical Speed

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To calculate horizontal velocity, initial vertical speed, angular launch speed, launch angle, and maximum height for a 7.3g object projected 24.5m, basic equations of motion are essential. The formulas include V=d/t for average velocity and the kinematic equations for motion analysis. It's important to assume no air resistance, which allows horizontal velocity to remain constant. Applying these equations to both vertical and horizontal components will yield the desired results. Properly using the variables in the formulas is crucial for accurate calculations.
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Homework Statement


Calculate any or all of the following: horizontal velocity, initial vertical speed, angular launch speed, launch angle, and maximum height all for an object with a mass of 7.3g that is projected 24.5m.


Homework Equations





The Attempt at a Solution


V=d/t V=24.5/7.3 V=15.031
 
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Remember the basic equations of motion for particles like this

<br /> v = u + a t<br />

<br /> s = s_0 + u t + (1/2) a t^2<br />

<br /> v^2 = u^2 + 2 a s<br />

where v is the final velocity, u is the initial velocity, s is the displacement, a the acceleration and t the time.

Also remember that you are going to be assuming no air resistance, so horizontal velocity will remain constant.

Applying these formulae to verticle and horizontal components of the initial velocity should get you all of those

=]
 
another formula that may come in handy is...
2a∆y=V²-Vo²

where Vo=initial velocity.
since it includes horrizontal motion, be sure to use the right components when pluging in the variables, expecially for velocity. good luck
 
Last edited:
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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