Simple Acceleration Equation Help

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The discussion revolves around calculating displacement using the acceleration equation, where g is -9.80 m/s², time t is 3.85 seconds, and initial velocity vi is 0.00 m/s. The calculated displacement (d) is -72.6 meters, indicating that the object is below the reference point. Participants clarify that while displacement can be negative, distance should always be expressed as a positive value. It is emphasized that distance, as a scalar quantity, cannot be negative, and any confusion often arises in educational contexts. The conversation concludes with an agreement on the proper interpretation of distance versus displacement in physics.
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[SOLVED] Simple Acceleration Equation Help

g=-9.80 m/s^2
t= 3.85
vi= 0.00 m/s
d=?
d=vi(t) + (1/2)gt^2

d=0 + (1/2)(-9.80m/s^2)((3.85s)^2)
=-72.6

I'm trying to find the distance. So, this d represents displacement. Since in this case, this is also the distance, would there be any other work to show the sign change, since the d would be going from a vector to a scalar? Or should I have modified this equation beforehand to show d as a scalar, and not have taken into account the gravities negative?

By the way, sorry, this must seem like a trivial matter really not worth time, but I hate not understanding it down to the tiny details. Thank you very much!
 
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The negative sign looks fine to me since the displacement is below the axis where you set your initial displacement to be zero.
 
Thanks. So, would I just leave out the negative when expressing it as a distance, and there would be no work needed?
 
That's right. Distance, by definition in physics, cannot be negative. However, most teachers I've come across with in high school tend to blur the distinction between distance and displacement in physics questions. If you want to be technical about it, leave out the negative sign and if the teacher has you bollocked for not putting in the negative sign, tell them the true meaning of distance in physics. :smile:
 
Haha, excellent. Thank you for the help! :smile:
 
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