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anonymous

  • one year ago

A ball is dropped from a tower 550 meters above the ground with position function s(t) = 4.9t2+ 550. What is the velocity of the ball after 3 seconds What is the velocity of the ball after 3 seconds

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  1. dan815
    • one year ago
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    |dw:1439930033889:dw|

  2. dan815
    • one year ago
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    did u mean to ask what is the distance after 3 seconds because right now its asking the same question twice

  3. anonymous
    • one year ago
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    no just velocity. that second one was an accident

  4. dan815
    • one year ago
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    remember that velocity = change in displacement / time

  5. dan815
    • one year ago
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    |dw:1439930256339:dw|

  6. dan815
    • one year ago
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    derivative of a function tells you the slope of that function wrt to time everywhere

  7. anonymous
    • one year ago
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    yeah I just get confused with what comes after S(t)

  8. dan815
    • one year ago
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    okay i see

  9. dan815
    • one year ago
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    you know that gravity is 9.8m/s^2 right

  10. anonymous
    • one year ago
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    yeah

  11. dan815
    • one year ago
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    if u look carefully this equation models that

  12. dan815
    • one year ago
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    if u differentiate twice s'(t)=2*4.9*t s''(t) = 2*4.9=9.8

  13. dan815
    • one year ago
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    accerlation is the 2nd derivative of s(t) function

  14. dan815
    • one year ago
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    acceleration is how velocity change wrt to time so its the slope of the velocity function velocity is how displamenet changes wrt to time so its the slope of the distance function

  15. dan815
    • one year ago
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    the units also tell you for example 9.8 m/s^2 = 9.8 m/s /s the units m/s /s

  16. dan815
    • one year ago
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    change in speed or velocity / second

  17. dan815
    • one year ago
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    just one thing i think is a bit akward here is that they didnt put a - sign infront of your equation

  18. dan815
    • one year ago
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    so i guess position velocity in your case really means downward towards earth

  19. dan815
    • one year ago
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    positive*

  20. anonymous
    • one year ago
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    yeah I noticed that to but I figured it was a typo or something

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