Algebra 2

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A package is thrown downward with an initial velocity of -5 ft/sec from a helicopter at 300 ft. A) what is the height of the package in 2 sec? B) how long does it take to hit the ground?
Round answer to 2 decimals Enter: blank ft,blank sec.

  • Algebra 2 -

    the equation is
    height = -16t^2 - 5t + 300
    so when t=2
    height = -16(4) - 5(2) + 300
    = 226 ft

    to hit the ground, height =0
    0 = -16t^2 - 5t + 300
    16t^2 + 5t - 300 = 0
    t = (-5 ± √19225)/32
    = 4.176.. or a negative, of course negative time would be inadmissable

    it would take appr 4.18 seconds to hit the ground

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