Christos
  • Christos
Kinematics, Who's gonna help me with that cause im going crazy ? :( https://www.dropbox.com/s/a5f7u18f238rcye/Screenshot%202015-12-15%2013.33.09.png?dl=0 https://www.dropbox.com/s/0esiko2rhid7c75/Screenshot%202015-12-15%2013.34.18.png?dl=0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Christos
  • Christos
part (i) is solved btw , i am stuck afterwards , I have also posted the link to the graph (second link)
anonymous
  • anonymous
DO I SIGN in or i don't ?
Christos
  • Christos
not

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anonymous
  • anonymous
ok thanks
Christos
  • Christos
I mean you don't have to sign in on dropbox to view the files
anonymous
  • anonymous
well witch one is better
Christos
  • Christos
?
anonymous
  • anonymous
is it better to sign in or not
anonymous
  • anonymous
nvm
Owlcoffee
  • Owlcoffee
Are you familiar with derivatives? Else I'd suggest you use the utility of excel that calculates it (if it has any).
Christos
  • Christos
i am familiar
Owlcoffee
  • Owlcoffee
Well, I recommend you derivate the given function \(x(t)\) and then plot in the point t=1.6.
pogo
  • pogo
yeah find the 1st derivative of x(t) and put t=1.6 in the obtained expression the value u'll get will be the slope of line tangent to the point on the graph with t=1.6
Christos
  • Christos
if I find the first derivative that would give me the velocity while the exercise asks for the aceleration
Christos
  • Christos
and if I take the second derivative, then there is nowhere for me to plug in 1,6
Christos
  • Christos
so there is that :D
Owlcoffee
  • Owlcoffee
acceleration is \(a=\frac{ dv }{ dt }\) this implies that you'll have to derive twice.
Christos
  • Christos
which gives me a(t) = 8
Owlcoffee
  • Owlcoffee
Well done, do not forget the units of measurement.
Christos
  • Christos
@ParthKohli could you help me out ? (:
ParthKohli
  • ParthKohli
Yes sure. But I have no idea about Excel.
Christos
  • Christos
I have done the excell part https://www.dropbox.com/s/35sv5hgup6vv4fy/Screenshot%202015-12-15%2014.20.25.png?dl=0
ParthKohli
  • ParthKohli
Yeah lol I'd rather use Wolfram.
Christos
  • Christos
oki
ParthKohli
  • ParthKohli
ok what do you need help with
Christos
  • Christos
I dont know how to (b)
Christos
  • Christos
even what it's asking seems wrong to me "use x(t) to graph tangent and find accel"
ParthKohli
  • ParthKohli
Yes, exactly. You can't find the acceleration just by looking at one tangent. You can only find the velocity through that. However, if you look at a series of tangents, then you will see a very interesting trend of their slopes and can find the acceleration.
Christos
  • Christos
hmmm what do you mean ??
ParthKohli
  • ParthKohli
OK, I just meant to say that you can only gather info about velocity by a tangent at a point.
Christos
  • Christos
what if I find the slope of the second graph I drew in excell
pogo
  • pogo
you'll see that direction of change in velocity will be the direction of acceleration
Christos
  • Christos
even then a = -10 while if I calculate it using the expression that he gave me (which I used to contruct the graphs) I get a = 8
MrNood
  • MrNood
not if the graph is of velocity against time tehn the tangent at a point is the acceleration at that point it is th esame as the second derivative of the displacement graph
ParthKohli
  • ParthKohli
yes, you'll need to first graph v-t
pogo
  • pogo
yeah
Christos
  • Christos
second graph is v(t) https://www.dropbox.com/s/v6wfgjn3tnd1ndy/Screenshot%202015-12-15%2014.27.45.png?dl=0
Christos
  • Christos
slope = -10
Christos
  • Christos
x(t)'' = a(t) = 8
Christos
  • Christos
so graph shows -10 , expression shows 8 for any value plugged in
Christos
  • Christos
so it seems that I did a mild mistake in calculating the slope. The actual slope = -8 . But still , you get a(t) = 8 for any value plugged in (which is diferent sign )
MrNood
  • MrNood
it looks to me like oyu have the slope for the SECOND graph wrong (there are no titles on the graph) If the first graph is displacement against time then it can be seen that teh slope (velocity) is DECREASING with time Hence teh velocity slope would be -8t and the acceleration would be -8

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