Do I square acceleration when solving.

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When solving for displacement using the equation X=Vo*t+1/2*a*t^2, the correct approach is to substitute the values without squaring the acceleration. The calculation involves multiplying the acceleration by half and the squared time, not squaring the acceleration itself. The equation simplifies to x = (2.80 m/s) * (8.5s) + 1/2 * (11.3 m/s²) * (8.5 s)². It's essential to clarify the operations involved, as the plus sign in the equation should be replaced with multiplication for accurate results. Understanding the units and their application is crucial for solving the problem correctly.
mrserv0n
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Okay

X=Vo*t+1/2*a*t^2

x=2.80 m/s + 8.5s + .5 * 11.3 m/s^2 * 8.5s^2

Ok so I first do my exponent with time 8.5 * 8.5 = 72.25

but do I multiply that by 11.3 * .5 or do i have to square the 11.3 (acceleration) which is 127.69.

so is it 11.3 * .5 * 72.25 or 127.69 * .5 * 72.25?
 
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You are simply plugging in the given values for V0, t and a.

Your top equation, doing this replacement, looks like this:

x = (2.80 m/s) * (8.5s) + 1/2 * (11.3 m/s2) * (8.5 s)2

I don't know where you get the plus between the first two components, but that's multiplication.

Using the parentheses should make it clearer which values need to be squared and which do not.

A squared unit only refers to the unit itself being squared, not any values that use that unit. If the t2 unit in acceleration always meant that the value for the acceleration should be squared, what sense would it make to state the original value?
 
mrserv0n, don't start a new topic, look at your original thread.
you know 3 variables, x = 40.0m, t = 8.50s, and v = 2.80m/s
you need to find v0, the initial speed, and a, the acceleration

use your knowledge of algebra to find these 2 variables in 2 equations
 
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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