Motion with Constant Acceleration (True/False)

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In the discussion on motion with constant acceleration, several statements regarding velocity and position are evaluated for their truthfulness. It is established that if acceleration is constant, the velocity changes by the same amount each second, making that statement true. However, the velocity can decrease, indicating that it does not always have to be increasing. The position can also change negatively depending on the direction of acceleration, which complicates the understanding of motion. Overall, the importance of direction in vector quantities like acceleration, velocity, and displacement is emphasized.
FAJISTE
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Homework Statement



If an object moves with constant (non-zero) acceleration, then which of the following statements are true?
The velocity must continually change by the same amount each second
The acceleration must be constant
The velocity must continually change by varying amounts depending on the speed
The velocity must be increasing
The position must be increasing

Homework Equations





The Attempt at a Solution



1. (Not sure) True, if acceleration is constant then the velocity will be linear meaning it changes by the same amount each time
2. Hm, not sure here. I'd go with false because can't the acceleration change from positive to negative and still remain constant?
3. False, velocity will go at same speed
4. False, could be negative acceleration
5. True

Some help please, not sure on some of them
 
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1) acceleration is (m/s)/s which means it is changing by a certain velocity each second.
2) acceleration is a vector quantity, direction matters
3) same as question one, velocity changes by a certain amount each second.
4) your right exactly
5) position could also be changing negatively, it depends on the origin and direction of acceleration.
 
FAJISTE said:
2. ... can't the acceleration change from positive to negative and still remain constant?

You should work for the Government.

It changes yet it can remain constant?
 
lol that was pretty dumb.
 
dude don't worry at least you gave it a lot more thought then some people would have.
just remember with vector quantities like accelaration and displacement and velocity, direction matters.
 
Yeah, i got it now thanks for the help.
 
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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