zero velocity
When the slope of a distance time graph is zero, the object is moving at a constant velocity.
True or false?
:)
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sloan on Feb 20, 2008
C
jonotron
on Feb 20, 2008
seems to be true and false because the questions is worded strangely. zero slope = a constant of zero velocity but it's not moving at all if it has zero velocity. So True, it has constant velocity, but false, it is not moving.
:)
louiemctool on Feb 20, 2008
si. did you mean zero acceleration?
:p
MaskedJedi on Feb 20, 2008
soprano, you are right, give up, you're not gonna convince her.
louiemctool on Feb 20, 2008
well...
zero slope != zero velocity. it means zero acceleration, which means the object is moving at a constant rate of speed (velocity) and neither slowing down nor speeding up.
and who is it you're trying to convince, anyway?
:)
annikalee on Feb 21, 2008
I think it depends on how you read the question. When the slope of the graph is at zero the object is not moving, but does have a constant velocity of zero.
and soprano, MJ is right you're not gonna convince her
misterhaan on Feb 21, 2008
it's distance versus time, so the slope is equal to the velocity, and zero slope is zero velocity.
constant velocity is when acceleration is zero, which is any time the distance vs. time graph is straight (even if it’s at an angle).
so if the slope is zero at one point, then the velocity is zero at that point. but the question is asking about constant velocity, which means zero acceleration, which is not necessarily the case. for example, if the graph looks like a hill then the slope is zero at the top but there is non-zero acceleration all the way through and thus non-constant velocity.
annikalee on Feb 21, 2008
nice explanation
soprano on Feb 21, 2008
@louiemctool: I think you might have misread the question. It's a distance-time graph.
@misterhaan: To me, the question seemed to imply that the slope was zero for more than one point, but I guess there's multiple interpretations.
AlterEgo on Feb 21, 2008
Yes.
louiemctool on Feb 21, 2008
no, i just mis-remembered my calculus... you were right, i am wrong...
:p
awm on Feb 21, 2008
well, if the slope is zero, that means that there is 0 rise over whatever run. If there's zero rise, it means that the object isn't moving at all. So, it does have a constant velocity of 0. (In fact, in a position vs. time graph, any straight line signifies a constant velocity)
senorgooner on Feb 21, 2008
Time for a beer said Gooner
mik on Feb 21, 2008
It does have a constant velocity but since that velocity is zero, "the object is moving" = false. (Discounting possibilities of motion not in distance such as in height or vibration or rotation... over think much, do I?)
misterhaan on Feb 22, 2008
@awm: zero slope can be zero rise over infinitesimally small run, which is the situation i was talking about. a physical example is throwing a ball straight up into the air — it will be moving with a decreasing upward velocity, then pass through zero and start moving with an increasing downward velocity.
@mik: the theory of relativity says that constant velocity and zero velocity differ only by frame of reference. while it’s strange to say that an object is moving with zero velocity when it’s standing still, i’m fairly certain it’s still correct.
elnitido52 on Feb 22, 2008
IconBuffet is the answer...ZERO Velocity...at the moment...but still moving...;0)