anonymous
  • anonymous
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative.
Mathematics
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anonymous
  • anonymous
The position of an object at time t is given by s(t) = -9 - 3t. Find the instantaneous velocity at t = 8 by finding the derivative.
Mathematics
jamiebookeater
  • jamiebookeater
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DanJS
  • DanJS
\[\frac{ d }{ dt }s(t) = v(t)\]
DanJS
  • DanJS
Or you can see that s(t) is linear, and the velocity is constant at all times, the slope of the line
anonymous
  • anonymous
so how would i plug this in @DanJS

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DanJS
  • DanJS
Show the derivative of s, \[v(t) = \frac{ d }{ dt }s(t) = \frac{ d }{ dt }[-9-3t]\]

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