Venomblast
  • Venomblast
I don't understand Tangent line and velocity problems. please help and with examples
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
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campbell_st
  • campbell_st
if you are given a velocity equation, the tangent is the rate of change in velocity over time... or acceleration....
abb0t
  • abb0t
basically, the derivative.
dan815
  • dan815
the slope of the tangent line could be interpreted as the instantaneous rate of change at some point on the graph

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dan815
  • dan815
think about it like this
dan815
  • dan815
say you have a position vs time graph,
dan815
  • dan815
|dw:1378412110573:dw|
dan815
  • dan815
if someone asked you what speed was this object travelling at
dan815
  • dan815
you would see how much distance this object travelled and in how much time
dan815
  • dan815
distance/ time = speed or displacement/time= velocity
Venomblast
  • Venomblast
but my prof gave me a equation like this to remember \[(d _{2} - d _{1})/(x _{2}-x _{1)} \] which is the rule of the tangent line
dan815
  • dan815
also for a line, as you can see the slope is the same everywhere, so he is travelling at constant velocity right
dan815
  • dan815
so for a curve, that isnt a line what we do is, to break it up into small tiny chunks, so small that it is pretty much a line
dan815
  • dan815
then we calculate the "average velocity" for that small chunk of line, which is pretty much the instantaneous velocity at that point
dan815
  • dan815
or the slope of the tangent line or the derivative of that function at that point
Venomblast
  • Venomblast
give me an example
dan815
  • dan815
|dw:1378412422879:dw|
dan815
  • dan815
think about it like this, you know the rate of change for a line is always cosntant right
dan815
  • dan815
|dw:1378412556660:dw|
dan815
  • dan815
so if i asked you what is the average rate of change over that time |dw:1378412626655:dw|
dan815
  • dan815
youd just give me the slope of that line
dan815
  • dan815
|dw:1378412665262:dw|
dan815
  • dan815
but if we break it up into smaller and smaller chunks we get almost lines again
dan815
  • dan815
|dw:1378412697189:dw|
dan815
  • dan815
so can you see how the rate of change for a point in those 4 separate areas would be different
Venomblast
  • Venomblast
so confusing
dan815
  • dan815
go back to basics
dan815
  • dan815
start with lines again
Venomblast
  • Venomblast
give me a problem. that how i work best
dan815
  • dan815
nah first learn more basics, understand concept, then problems
dan815
  • dan815
you can keep a general problem in your mind that you want to solve, but learn concepts more throughly
dan815
  • dan815
and then go back to solving that problem
dan815
  • dan815
first tell me if you understand lines
dan815
  • dan815
if you have a position vs time graph
dan815
  • dan815
|dw:1378412907744:dw|
dan815
  • dan815
you there?
dan815
  • dan815
tell me if you understand what that graph is trying to convey
Venomblast
  • Venomblast
i get that part
dan815
  • dan815
sum it up in a sentence or 2
dan815
  • dan815
|dw:1378414507233:dw|
dan815
  • dan815
can you reply faster please.. id like to move on to tangent lines and velocity stuff as soon as possible
Venomblast
  • Venomblast
so the y axis is feet and and x axis is seconds

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