Got it!!!!!!!!! 2009 997 C2S!
11-05-2009, 12:04 AM
#46
Rennlist Member
which is the second derivative of position. dave
11-05-2009, 12:41 AM
#47
Banned
Well then you learned incorrectly, or you don't remember your learning. Take your pick.
The derivative with respect to time is defined as the change in value of a quantity divided by the change in time in which that quantity changed, as that interval in time is reduced infinitesimally such that it approaches a value of zero.
Position is just a point in space. It doesn't change. It is constant. Hence there is no derivative of position. Now the change of position is indeed a quantity that can be measured. And in one dimensional space, change of position is measured by distance between the two points being measured.
See above.
The derivative with respect to time is defined as the change in value of a quantity divided by the change in time in which that quantity changed, as that interval in time is reduced infinitesimally such that it approaches a value of zero.
Position is just a point in space. It doesn't change. It is constant. Hence there is no derivative of position. Now the change of position is indeed a quantity that can be measured. And in one dimensional space, change of position is measured by distance between the two points being measured.
See above.
11-05-2009, 09:46 AM
#48
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Ben, step away from the blackboard.
One dimensional space!? My son in Grade 7 can call bs on that. One dimensional space is a point. Not interesting.
Also you're wrong on whatever blather you're tripping on about position being a constant......
Constants are constants, typically denoted a,b....n. Certainly not position or x
v =dx/dt is perfectly valid notation.
One dimensional space!? My son in Grade 7 can call bs on that. One dimensional space is a point. Not interesting.
Also you're wrong on whatever blather you're tripping on about position being a constant......
Constants are constants, typically denoted a,b....n. Certainly not position or x
v =dx/dt is perfectly valid notation.
11-05-2009, 11:57 AM
#50
Banned
Ben, step away from the blackboard.
One dimensional space!? My son in Grade 7 can call bs on that. One dimensional space is a point. Not interesting.
Also you're wrong on whatever blather you're tripping on about position being a constant......
Constants are constants, typically denoted a,b....n. Certainly not position or x
v =dx/dt is perfectly valid notation.
One dimensional space!? My son in Grade 7 can call bs on that. One dimensional space is a point. Not interesting.
Also you're wrong on whatever blather you're tripping on about position being a constant......
Constants are constants, typically denoted a,b....n. Certainly not position or x
v =dx/dt is perfectly valid notation.
Maybe you should ask your seventh grader to help you understand these abstruse concepts that apparently escape your ability to grasp and understand.
A line occupies one-dimensional space. A plane occupies two-dimensional space -- basic Euclidean geometry stuff, nothing complicated. So what does that make a point? (No, you can't cheat off your son.) It makes a point ............... zero-dimensional.
What I was saying is that position is defined by a point in space, an assigned address location. In one-dimensional space the address would take on only one value to properly locate position, in two-dimensional space two values, in three-dimensional space three values. The space between two position points is simply the distance between them.
Velocity is a concept of motion, of traversed distance over some time interval. Speed is its scalar component that even you might be able to grasp. Average speed is simply the total traversed distance divided by the total time. Instantaneous speed at a particular position along this traversed distance is simply the scalar component of the velocity vector for that position point.
And like I said before, you can call it what you want and annotate it how you want so long as you stipulate your definitions a priori. But the concept of velocity is distance over time, not position over time.
11-05-2009, 04:26 PM
#51
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11-05-2009, 04:28 PM
#52
Incorrect on both counts.
Velocity is the first derivative of distance with respect to time: V=dD/dt in English terms.
In Latin terms (as used by Galileo et al.), Velocita=d(spatium)/d(tempus)
Or, as most physics students learned it, V=ds/dt
But the term for distance can be anything so long as it's meaning is first stipulated.
Oh, Acceleration is the first derivative of velocity, not the second.
Velocity is the first derivative of distance with respect to time: V=dD/dt in English terms.
In Latin terms (as used by Galileo et al.), Velocita=d(spatium)/d(tempus)
Or, as most physics students learned it, V=ds/dt
But the term for distance can be anything so long as it's meaning is first stipulated.
Oh, Acceleration is the first derivative of velocity, not the second.
11-05-2009, 04:30 PM
#53
Rennlist Member
11-05-2009, 04:34 PM
#54
11-05-2009, 04:57 PM
#55
Burning Brakes
Well then you learned incorrectly, or you don't remember your learning. Take your pick.
The derivative with respect to time is defined as the change in value of a quantity divided by the change in time in which that quantity changed, as that interval in time is reduced infinitesimally such that it approaches a value of zero.
Position is just a point in space. It doesn't change. It is constant. Hence there is no derivative of position. Now the change of position is indeed a quantity that can be measured. And in one dimensional space, change of position is measured by distance between the two points being measured.
The derivative with respect to time is defined as the change in value of a quantity divided by the change in time in which that quantity changed, as that interval in time is reduced infinitesimally such that it approaches a value of zero.
Position is just a point in space. It doesn't change. It is constant. Hence there is no derivative of position. Now the change of position is indeed a quantity that can be measured. And in one dimensional space, change of position is measured by distance between the two points being measured.
You fail
11-05-2009, 10:31 PM
#58
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OK, it's my thread, so I'm going to jump back in for a moment:
Pot, meet kettle.
Dave, you're so right about that. d$/dt approaches infinity as the check changes hands. Anyway, I'd thank everyone for the compliments on the color, but alas, I can't really take credit. All I did was recognize it as pretty and pick it from the lot. I think it's fabulous. Understated, but different.
Over 400 miles so far and doing great. Reading the owner's manual cover to cover over the course of a few evenings. Love having a new p-car... nothing else like it in the world.
Dave, you're so right about that. d$/dt approaches infinity as the check changes hands. Anyway, I'd thank everyone for the compliments on the color, but alas, I can't really take credit. All I did was recognize it as pretty and pick it from the lot. I think it's fabulous. Understated, but different.
Over 400 miles so far and doing great. Reading the owner's manual cover to cover over the course of a few evenings. Love having a new p-car... nothing else like it in the world.
11-05-2009, 10:50 PM
#59
Banned
11-05-2009, 10:52 PM
#60
