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In the equation of velocity
v = d(x)/d(t)
what r the conditions to make velocity (v) = 0?

2007-07-28 20:02:10 · 8 answers · asked by rajesh bhowmick 2 in Science & Mathematics Physics

8 answers

dx/dt is the symbol for change in position along X (dx) over some small period of time (dt). Thus, whenever the change in position is a net zero in the time period dt, we have dx = 0 over dt > 0 and dx/dt = 0/T; where T is some small passage of time or dt. Thus, v(x) = dx/dt = 0/T = 0 and velocity in the X direction is zero.

Here's an example. You step forward one foot; then immediately return to where you started from. The fore/aft stepping takes a second; so T = dt = 1 sec. In that one second, you went dx = x0 - x1 feet; where x0 = 1 foot forward and x1 = 1 foot back. Thus, dx = 1 - 1 = 0. So we have v(x) = dx/dt = 0 feet/1 sec = 0 feet/sec.

The X distance is a vector, it has direction (fore and aft) and magnitude (one foot). Thus going forward and backward one foot each cancel out to give us dx = 0 over that one second of motion.

Of course, another way dx = 0, is for something to be static. That is, it does not move over time. In which case, dx/dt = 0/T simply because whatever you are measuring is not displaced over time at all.

2007-07-28 20:26:08 · answer #1 · answered by oldprof 7 · 0 0

velocity is the derivative of displacement right??? so if ur asked to find the derivative of say...a constant...like 5...then the derivative is zero. so if x is a constant, then your velocity will be zero

2007-08-01 05:28:33 · answer #2 · answered by Anonymous · 0 0

the displacement (x) must be zero during the interval of time.

2007-07-28 20:33:46 · answer #3 · answered by aryabhatt 1 · 0 0

the displacement (x) must be zero during the interval of time.

2007-07-28 20:10:31 · answer #4 · answered by jim 3 · 0 0

its very very very very very simple the object must be @ rest or the forces applied on the object should be equal on all the sides

2007-07-29 00:28:09 · answer #5 · answered by NIVEDHA P 2 · 1 0

That x is not changing.

2007-07-28 20:05:58 · answer #6 · answered by Anonymous · 1 0

You need pie. No pi, PIE.

2007-07-28 20:05:20 · answer #7 · answered by Just_One_Man's_Opinion 5 · 0 0

s is constant

2007-07-29 01:19:12 · answer #8 · answered by kaushik patel 2 · 0 0

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