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zeesbrat3

  • one year ago

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.

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  1. zeesbrat3
    • one year ago
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    Do you first find the derivative?

  2. welshfella
    • one year ago
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    yes

  3. zeesbrat3
    • one year ago
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    So 9.8t

  4. anonymous
    • one year ago
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    yes, v(t) = d/dt s(t)

  5. zeesbrat3
    • one year ago
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    Then plug 2 in for t?

  6. anonymous
    • one year ago
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    yep

  7. welshfella
    • one year ago
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    right

  8. zeesbrat3
    • one year ago
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    19.6 m/s

  9. welshfella
    • one year ago
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    yes

  10. zeesbrat3
    • one year ago
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    Awesome, thank you. Mind making sure I'm correct on another one? I think I know how to do them, I'm just checking..

  11. welshfella
    • one year ago
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    ok

  12. zeesbrat3
    • one year ago
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    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.

  13. zeesbrat3
    • one year ago
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    So for A, you plug 102 in, and the 100. Subtract (c(102) - c(100)) then divide by 102-100

  14. welshfella
    • one year ago
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    exactly

  15. zeesbrat3
    • one year ago
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    Then for B, you find the derivative and plug 100 in?

  16. welshfella
    • one year ago
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    and for the second part you differentiate C(x) with respect to x

  17. welshfella
    • one year ago
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    right

  18. zeesbrat3
    • one year ago
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    What would be the units? It doesn't really tell you what you are looking for

  19. welshfella
    • one year ago
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    cost per units produced dollars per notebook

  20. zeesbrat3
    • one year ago
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    Oh, thank you!

  21. welshfella
    • one year ago
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    yw

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