zeesbrat3
  • zeesbrat3
A ball is dropped from a tower 350 meters above the ground with position function s(t) = 4.9t2+ 350. What is the velocity of the ball after 2 seconds? Include units in your answer.
Mathematics
katieb
  • katieb
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zeesbrat3
  • zeesbrat3
Do you first find the derivative?
welshfella
  • welshfella
yes
zeesbrat3
  • zeesbrat3
So 9.8t

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anonymous
  • anonymous
yes, v(t) = d/dt s(t)
zeesbrat3
  • zeesbrat3
Then plug 2 in for t?
anonymous
  • anonymous
yep
welshfella
  • welshfella
right
zeesbrat3
  • zeesbrat3
19.6 m/s
welshfella
  • welshfella
yes
zeesbrat3
  • zeesbrat3
Awesome, thank you. Mind making sure I'm correct on another one? I think I know how to do them, I'm just checking..
welshfella
  • welshfella
ok
zeesbrat3
  • zeesbrat3
Thank you... The cost in dollars of producing x units of a particular brand of notebook is C(x) = x2 – 400. Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 102. Include units in your answer. Find the instantaneous rate of change of C with respect to x when x = 100. Include units in your answer.
zeesbrat3
  • zeesbrat3
So for A, you plug 102 in, and the 100. Subtract (c(102) - c(100)) then divide by 102-100
welshfella
  • welshfella
exactly
zeesbrat3
  • zeesbrat3
Then for B, you find the derivative and plug 100 in?
welshfella
  • welshfella
and for the second part you differentiate C(x) with respect to x
welshfella
  • welshfella
right
zeesbrat3
  • zeesbrat3
What would be the units? It doesn't really tell you what you are looking for
welshfella
  • welshfella
cost per units produced dollars per notebook
zeesbrat3
  • zeesbrat3
Oh, thank you!
welshfella
  • welshfella
yw

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