math/algebra

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A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.

Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted.

Find the height (in feet) of the football 2 seconds after the punt.

Calculate how many seconds after the punt the ball would hit the ground.

  • math/algebra -

    height = -16t^2 + 47t + 3

    when t=2
    height = -64 + 94 + 3 = 33 feet high

    to hit the ground, height = 0
    -16t^2 + 47t+3=0
    16t^2 - 47t - 3 = 0
    (t-3)(16t + 1) = 0
    t = 3 or t = a negative, which is not valid

    it will hit the ground after 3 seconds

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