anonymous
  • anonymous
If h(t) represents the height of an object above ground level at time t and h(t) is given by: h(t)=-16t^2+14t+1 find the speed at time t=0.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
this is physics. use that forum.
anonymous
  • anonymous
im learning this in calculus
anonymous
  • anonymous
oh cool. calc AB or BC. that determines how to do this.

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anonymous
  • anonymous
idk. its my first calc class. its the intro course.
anonymous
  • anonymous
uhhh... do you know how to differentiate? or take limits?
anonymous
  • anonymous
we just started doing that in class. not too keen on it yet.
anonymous
  • anonymous
ok so the derivative of position is velocity because the "change" in position is velocity. so differentiate h(x)
anonymous
  • anonymous
i dont know what it means to differentiate
anonymous
  • anonymous
i thought you just plug in for T?
anonymous
  • anonymous
ok do you know how to: 1) take a derivative 2) find a limit? which one do you know...basically what are you doing in class now?
anonymous
  • anonymous
we just started derivatives and limits... we've mainly been doing rate of change where you plug in something in the function.
anonymous
  • anonymous
eh. you have to take the derivative of that.. or just use the limit definition of the derivative to take the derivative...you need to do one.
anonymous
  • anonymous
can you show me how to do that?
anonymous
  • anonymous
v(t) = dh/dt = -32t + 14
anonymous
  • anonymous
v(0) = 0 + 14
anonymous
  • anonymous
Therefore , Answer = 14
anonymous
  • anonymous
ok so the derivative of something is taking the 2 from the square and multiplying it by the coefficient... what happened to the +1 at the end of the function?
phi
  • phi
derivative of a constant = 0
phi
  • phi
think of it as 1*t^0
anonymous
  • anonymous
|dw:1327531319590:dw|
anonymous
  • anonymous
|dw:1327531370597:dw|
anonymous
  • anonymous
cant i just multiply whatever the coefficient is by 2 and then plug in the last number for T or whatever other letter and get the right answer every time?
anonymous
  • anonymous
|dw:1327531709121:dw|
anonymous
  • anonymous
and then plug zero for the first T of course to get the right answer

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