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anonymous

  • one year ago

The position of an object at time t is given by s(t) = -2 - 6t. Find the instantaneous velocity at t = 2 by finding the derivative.

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  1. jim_thompson5910
    • one year ago
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    what is the derivative of s(t)? what did you get?

  2. anonymous
    • one year ago
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    -2 - 6(x+h) ? @jim_thompson5910

  3. jim_thompson5910
    • one year ago
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    you made an error somewhere

  4. jim_thompson5910
    • one year ago
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    that -2 should go away

  5. anonymous
    • one year ago
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    -2 - 6(x+h) -(-2-6x)

  6. anonymous
    • one year ago
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    is that right?

  7. anonymous
    • one year ago
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    then that over h?

  8. jim_thompson5910
    • one year ago
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    yes that's correct

  9. jim_thompson5910
    • one year ago
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    you'll find that the first -2 and the -(-2) will cancel

  10. anonymous
    • one year ago
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    is the answer -6?

  11. anonymous
    • one year ago
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    bc you get -2-6x-6h+2+6x/h = -6h/h = -6

  12. jim_thompson5910
    • one year ago
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    very good

  13. jim_thompson5910
    • one year ago
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    s(t) = -2 - 6t s ' (t) = -6

  14. jim_thompson5910
    • one year ago
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    so no matter what t is, the instantaneous velocity will be -6

  15. anonymous
    • one year ago
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    ok thank you!

  16. jim_thompson5910
    • one year ago
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    you're welcome

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