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anonymous

  • one year ago

A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the ground? Use the formula h = rt − 16t2 where h represents height in feet and r represents the initial speed.

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  1. anonymous
    • one year ago
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    So it looks like this? \[h = 48t-16t^2\]

  2. anonymous
    • one year ago
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    yea

  3. anonymous
    • one year ago
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    so now what?

  4. anonymous
    • one year ago
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    Graph it

  5. anonymous
    • one year ago
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    cant graph that

  6. anonymous
    • one year ago
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    Your h is 36

  7. campbell_st
    • one year ago
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    so you need to le the height = 0 and then solve 0 = 48t - 16t^2 for t this can be factored

  8. anonymous
    • one year ago
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    Now try to put it into quadratic form like \[48t-16t^2-36=0\]

  9. anonymous
    • one year ago
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    Then factor this and you should get 2 values.

  10. anonymous
    • one year ago
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    4(8t-9)

  11. anonymous
    • one year ago
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    No...use quadratic equation

  12. anonymous
    • one year ago
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    t=3,0

  13. anonymous
    • one year ago
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    yes

  14. anonymous
    • one year ago
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    thats the amswer?

  15. anonymous
    • one year ago
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    so the answer is 3 seconds

  16. anonymous
    • one year ago
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    thx

  17. anonymous
    • one year ago
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    A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is shown in the following table: Product Function Year 1 (dollars) Year 2 (dollars) Year 3 (dollars) Product 1 f(x) = x3 1 8 27 Product 2 g(x) = x2 + 11 12 15 20 Product 3 h(x) = 4x 4 16 64 Product 4 j(x) = 4x + 8 12 16 20 Based on the data in the table, for which product does the price eventually exceed all others? Product 1 Product 2 Product 3 Product 4

  18. anonymous
    • one year ago
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    can u help with this

  19. anonymous
    • one year ago
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    h(x) is this? \[4x^4\]

  20. anonymous
    • one year ago
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    k

  21. anonymous
    • one year ago
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    If it is product 3 will exceed all other price, it's increasing exponentially

  22. anonymous
    • one year ago
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    so c

  23. anonymous
    • one year ago
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    yes

  24. anonymous
    • one year ago
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    wait

  25. anonymous
    • one year ago
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    It's product 1, product 3 is only 4x

  26. anonymous
    • one year ago
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    kk

  27. anonymous
    • one year ago
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    A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 100 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.

  28. anonymous
    • one year ago
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    \[\left[\begin{matrix}Product & Function & Year 1 & Year 2 & Year 3\\ 1 & f(x)=x^3 & 1 &8 &27 \\ 2 & g(x) = x^2+11 & 12 &15&20 \\ 3 & h(x) = 4x & 4&16& 64 \\4 &j(x)=4x+8 &12 &16 &20\end{matrix}\right]\]

  29. anonymous
    • one year ago
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    that should seem clearer when i put it this way

  30. anonymous
    • one year ago
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    Ok take the derivative of the function f(t)

  31. anonymous
    • one year ago
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    I hope you know how to do that

  32. anonymous
    • one year ago
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    can i just solve for t

  33. anonymous
    • one year ago
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    no you can't solve for t because every value of t gives you something new, its a function

  34. anonymous
    • one year ago
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    and you are finding the rate of change

  35. anonymous
    • one year ago
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    This curve looks like this|dw:1438220902622:dw|

  36. anonymous
    • one year ago
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    so you are solving for the tangent line like this|dw:1438221106783:dw|

  37. anonymous
    • one year ago
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    omg

  38. anonymous
    • one year ago
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    @saseal

  39. anonymous
    • one year ago
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    yea?

  40. anonymous
    • one year ago
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    this is hard

  41. anonymous
    • one year ago
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    Ok...I'll show you the formula first, you try it then I show to the other way \[f'(x)= \frac{ f(x+h)-f(x) }{ h }\] h is 5-3=2

  42. anonymous
    • one year ago
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    so you are basically doing \[f'(x)=\frac{ f(5)-f(3) }{ 2 }\]

  43. anonymous
    • one year ago
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    kk

  44. anonymous
    • one year ago
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    how would i solve that

  45. anonymous
    • one year ago
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    @saseal

  46. anonymous
    • one year ago
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    f(5) is \[f(5)=-16(5)^2+48(5)+100\]

  47. anonymous
    • one year ago
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    is this the answer

  48. anonymous
    • one year ago
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    no this is just f(5)

  49. anonymous
    • one year ago
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    remember you need to take f(5)-f(3) and divide by 5-3

  50. anonymous
    • one year ago
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    so divide 5 and 3

  51. anonymous
    • one year ago
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    umm no

  52. anonymous
    • one year ago
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    guess ill show you the short way since i have to go soon its some calculus magic but it works

  53. anonymous
    • one year ago
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    ok

  54. anonymous
    • one year ago
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    It's -80

  55. anonymous
    • one year ago
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    thx

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