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anonymous

  • 4 years ago

h=.5cos(2t) where t is time in seconds and h height in feet, is the instantaneous velocity t=2 greater than or less than .76?

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  1. dumbcow
    • 4 years ago
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    velocity is dh/dt dh/dt = -2(.5) sin(t) = -sin(t) at t=2, -sin(2) = -.909 < .76

  2. anonymous
    • 4 years ago
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    oh it doesnt want me to use derivatives or limits

  3. dumbcow
    • 4 years ago
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    how can you find the instantaneous velocity then?

  4. anonymous
    • 4 years ago
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    i first started making a table and taking the average velocity at points closer and closer to 2

  5. dumbcow
    • 4 years ago
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    yeah and as you get closer and closer to 2 the limit of the slope or velocity is the derivative

  6. anonymous
    • 4 years ago
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    well the way i was doing i didnt technically use a derivative or limit i just dont think i was doing it right

  7. anonymous
    • 4 years ago
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    this is what i was doing

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  8. dumbcow
    • 4 years ago
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    here is what it should look like

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  9. anonymous
    • 4 years ago
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    thank you very much

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