Is the Velocity negative or positive?

AI Thread Summary
The discussion revolves around calculating the velocity of a log thrown over the Grand Canyon, which impacts the ground after 5.65 seconds. The final velocity is calculated as 55.4 m/s, with the sign of the velocity depending on whether gravity is considered positive or negative. Consistency in choosing the sign for acceleration due to gravity (9.8 m/s²) is emphasized, as it affects the final velocity's designation. It is clarified that while gravity is constant, the net force acting on an object can vary, leading to different accelerations in various scenarios. The conversation highlights the importance of unit inclusion and understanding the principles of motion under gravity.
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Homework Statement


If you were to throw a large log over the edge of the Grand Canyon and it took 5.65 seconds to hit the ground, calculate the velocity of the log at impact in m/s and calculate the distance the log fell in feet.[/B]

Homework Equations


vf=vi+at[/B]

The Attempt at a Solution


So I get vf=(9.8)(5.65)= 55.4 ...But then I think about it, and the object is going downwards so shouldn't it's velocity be negative (South)..? Also, is 9.8 supposed to be positive or negative?[/B]
 
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You can choose g to be positive or negative, whichever you wish. The final velocity here will take on whatever sign you give to g. The important thing is that you remain consistent! :)
 
NascentOxygen said:
You can choose g to be positive or negative, whichever you wish. The final velocity here will take on whatever sign you give to g.

So there's always two right answers?
 
rasofia77 said:
So there's always two right answers?
Not really. It's final velocity is 55.4 m/s towards the centre of the Earth. That's one answer. :)

I'd be concerned about your omission of the units when talking of velocity, though.
 
NascentOxygen said:
Not really. It's final velocity is 55.4 m/s towards the centre of the Earth. That's one answer. :)

I'd be concerned about your omission of the units when talking of velocity, though.

Sorry, haha *m/s. One last question, is acceleration the same for all objects?
Well, it is, due to gravity (9.8m/s^2) ..but then again I get confused because there's so many different word problems with different accelerations as answers, obviously. What would be the final, true answer though?
 
rasofia77 said:
Sorry, haha *m/s. One last question, is acceleration the same for all objects?
g is the same for all objects in a particular location. Whether the object is accelerating depends on the net force. Gravity is only one of many forces that may be acting simultaneously on an object.

Well, it is, due to gravity (9.8m/s^2) ..but then again I get confused because there's so many different word problems with different accelerations as answers, obviously. What would be the final, true answer though?
The answer to what?
 
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