Is Gravitational Acceleration Positive or Negative in Upward Motion Problems?

AI Thread Summary
In upward motion problems, gravitational acceleration is typically considered negative when using a downward direction as the reference, which is -9.8 m/s². However, if the problem states that upward is positive, then gravitational acceleration can be treated as positive in that context, leading to potential confusion. The equation d = vi x t + (at²)/2 is appropriate for calculating displacement, but care must be taken to define the signs of the variables correctly based on the chosen coordinate system. The user ultimately confirmed their solution was correct, indicating a successful understanding of the problem. Clarity in defining the direction of acceleration is crucial for solving these types of physics problems accurately.
jamiebean
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Homework Statement
A boy throws a stone vertically up with a speed 24.6 m/s. Assuming that the stone's motion is affected by the gravitaional acceleration only (acceleration g=9.8ms-2). What is the displacement in m between the stone's position at time 3.8 s and its initial position? (hint: displacement has a sign "+" or "-", the canvas system can accept signed input. upward direction is "+" and the downward direction is "-", gravitation acceleration is negative in sign)
Relevant Equations
d=vi x t + (at^2)/2
gravitation acceleration= -9.8
I attempted the question with
d=vi x t + (at^2)/2
gravitation acceleration= -9.8
and I got the solution of 22.724.

Should I use the value of -9.8? or should I just use 9.8?

should I use the equation above? I feel like what I am calculating is not displacement but distance...
thank you
 
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The question says that upwards is positive. That means that the gravitational acceleration is ...
 
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PeroK said:
The question says that upwards is positive. That means that the gravitational acceleration is ...
thanks a lot! I have got this problem right!love yah
 
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