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Nick2019

Frank kicks a soccer ball off the ground and in the air with an initial velocity of 30 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 14.1 feet 13.7 feet 13.2 feet 15.2 feet

  • one year ago
  • one year ago

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  1. zepp
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    We are looking for the highest point of a facing down parabola, therefore the vertex of the parabola.

    • one year ago
  2. zepp
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    |dw:1341586592338:dw|

    • one year ago
  3. SmoothMath
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    Do your thing, Zeppy.

    • one year ago
  4. Nick2019
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    so this means??

    • one year ago
  5. Nick2019
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    lol i should have read the chapter :/

    • one year ago
  6. zepp
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    |dw:1341586632841:dw|

    • one year ago
  7. zepp
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    Oh

    • one year ago
  8. SmoothMath
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    GAHAHAHA YEEEESSSS

    • one year ago
  9. Nick2019
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    lol so whats the answer, nice drawing

    • one year ago
  10. SmoothMath
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    The eeeeye, it sees everything!

    • one year ago
  11. Nick2019
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    lol i moved my webcam away from me haha

    • one year ago
  12. zepp
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    H(t) = −16t2 + vt + s Represents the equation of your parabola, we are looking for the vertex, the x-value of the vertex could be found by using the formula \[\frac{-b}{2a}\]

    • one year ago
  13. Nick2019
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    so one of these 14.1 feet 13.7 feet 13.2 feet 15.2 feet

    • one year ago
  14. zepp
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    Now, 30 feet per second. v=30 H(t) = −16t2 + 30t + s

    • one year ago
  15. zepp
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    Use the formula I wrote above :)

    • one year ago
  16. Nick2019
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    dont know how to solve that :/ i just need the answer no offence

    • one year ago
  17. Nick2019
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    ok il guess thanks for the help (in a good way)

    • one year ago
  18. zepp
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    A quadratic equation is \(ax^2+bx+c\) Where the x of the vertex is at \(\large \frac{-b}{2a}\) In our equation H(t) = −16t2 + 30t + s b is 30 and a is -16 \[\frac{-30}{2(-16)}=\frac{-30}{-32}=\frac{30}{32}\]

    • one year ago
  19. zepp
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    What you have to do next it to replace this x-value back into the equation to find the height (y-value) And sorry I'm at work so I was afk :(

    • one year ago
  20. Sav_1012
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    what is it

    • 8 months ago
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