Negative Acceleration: Understanding Movement Direction

AI Thread Summary
Negative acceleration can indicate either slowing down or speeding up in the opposite direction, depending on the context of the object's velocity. Without specific velocity information, acceleration alone does not clarify whether the object is moving forward or backward, as the designation of "positive" or "negative" direction is arbitrary. Retardation occurs when acceleration opposes the direction of velocity, resulting in a decrease in speed. If acceleration is orthogonal to velocity, it does not affect speed but alters the trajectory, leading to curved motion, known as centripetal acceleration. Understanding these concepts is essential for accurately interpreting movement dynamics.
sallychan
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I know that "negative acceleration" can be slowing down, or going backward and speeding up. I read the old posts here and I am still confused.

If no velocity are given, and you only know that the acceleration is, say, a= -5 m/s^2, how do you know the object is going forward or backward?
 
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sallychan said:
IIf no velocity are given, and you only know that the acceleration is, say, a= -5 m/s^2, how do you know the object is going forward or backward?

Hi sallychan. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

You don't know anything about the current velocity (or displacement) when all you are told is acceleration.
 
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What is "positive" direction and what is "negative"?
That is an arbitrary choice WE make!
When we use the concept of RETARDATION then that means the acceleration is in opposite direction of the velocity, where "opposite" means along the same line the velocity lies, but in the other direction (that is, 180 degrees shifted from the velocity direction). Retardation always reduces the SPEED of the object.

If the acceleration is ORTHOGONAL to the velocity, that is with a direction 90 degrees to the direction of the velocity, the acceleration will not change the speed of the object, but will make its trajectory curved, the sign of the acceleration telling us to "which side" the object will curve. We call such acceleration centripetal acceleration.
 
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