Physical Interpretation for two answers for time

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Homework Help Overview

The discussion revolves around the interpretation of two solutions for time derived from the motion equation for constant acceleration, specifically in the context of a particle's vertical motion. Participants are exploring the implications of a negative time solution in this scenario.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are examining the physical meaning of a negative time solution in the context of projectile motion. There are inquiries about the implications of the two time values, particularly when considering different starting points, such as ground level.

Discussion Status

Some participants have provided interpretations of the two time solutions, suggesting that one represents a future event (impact with the ground) and the other a past event (initial launch). The conversation is ongoing, with different perspectives being shared without a definitive consensus.

Contextual Notes

There is a focus on the standard motion equation and its application to vertical motion, with participants questioning the assumptions related to the initial height and conditions of the motion.

mateomy
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When you solve the motion equation

[tex] x=x_0 +v_0t +\frac{1}{2}at^2[/tex]

you get two answers for t. One being a negative due to the quadratic. What is the physical interpretation of this? Its driving me nuts.
 
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hi mateomy! :smile:
mateomy said:
you get two answers for t. One being a negative due to the quadratic. What is the physical interpretation of this? Its driving me nuts.

that's the standard constant acceleration equation for a particle going vertically up at speed v0 and height x0 at time t …

the two values of t for x = 0 are the time in the future when it will hit the ground, and the time in the past when it would have left the ground if it had been thrown from there (or below) :wink:
 
Go'bless you, Toiny Tim (Harsh cockney accent). What if, say...it left from the ground?
 
wotcher, me ol' mateomy! :wink:
mateomy said:
Go'bless you, Toiny Tim (Harsh cockney accent). What if, say...it left from the ground?

from the foot of the apples an' pears?

then the negative answer would be the time before it reaches height x0

'nuff said? o:)
 
Got it down solid now. Thanks for the clarification.
 

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