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anonymous

  • one year ago

I need help /.\ A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function: f(t) = −16t^2 + 16t + 32 Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground? 0.5 < t < 1 0.5 < t < 2 1 < t < 2 1 < t < 1.5

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  1. anonymous
    • one year ago
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    I'm thinking 0.5 < t < 2

  2. anonymous
    • one year ago
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    I'm just confused, fully with the entire thing. If you don't mind, could you help me with another question?

  3. anonymous
    • one year ago
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    highest point should be the vertex and the rightest zero x value of vertex = -b/2a given ax^2 + bx + c so plug in and you will get your first point

  4. anonymous
    • one year ago
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    the other point would be solve -16x^2 + 16x + 32 = 0 and take the positive answer, then you will get your other point

  5. anonymous
    • one year ago
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    Ohhh okay. I have one more question that I don't get, can you help me?

  6. anonymous
    • one year ago
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    Yes I will help with what I can :)

  7. anonymous
    • one year ago
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    Thank you ^.^ 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.

  8. anonymous
    • one year ago
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    h = 0 when it hits the ground, therefore: -16t^2 + 48t = 0 _________________________ Factor out -16t -16t(t + 3) = 0 : Two solutions t = 0, when it begins it's upward journey and t = 3 sec, when it returns to earth

  9. anonymous
    • one year ago
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    So the answer would end up being 3?

  10. anonymous
    • one year ago
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    Yes :)

  11. anonymous
    • one year ago
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    Okay, thank you so much! That last one was easier than I thought, I thought there were more steps cx

  12. anonymous
    • one year ago
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    No problem :P

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