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Nick2019

  • 3 years ago

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

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

  2. zepp
    • 3 years ago
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    |dw:1341586592338:dw|

  3. SmoothMath
    • 3 years ago
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    Do your thing, Zeppy.

  4. Nick2019
    • 3 years ago
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    so this means??

  5. Nick2019
    • 3 years ago
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    lol i should have read the chapter :/

  6. zepp
    • 3 years ago
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    |dw:1341586632841:dw|

  7. zepp
    • 3 years ago
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    Oh

  8. SmoothMath
    • 3 years ago
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    GAHAHAHA YEEEESSSS

  9. Nick2019
    • 3 years ago
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    lol so whats the answer, nice drawing

  10. SmoothMath
    • 3 years ago
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    The eeeeye, it sees everything!

  11. Nick2019
    • 3 years ago
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    lol i moved my webcam away from me haha

  12. zepp
    • 3 years ago
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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 \[\frac{-b}{2a}\]

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

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

  15. zepp
    • 3 years ago
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    Use the formula I wrote above :)

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

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

  18. zepp
    • 3 years ago
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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 \[\frac{-30}{2(-16)}=\frac{-30}{-32}=\frac{30}{32}\]

  19. zepp
    • 3 years ago
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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 :(

  20. Sav_1012
    • 2 years ago
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    what is it

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