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27 January, 02:25

A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function shown.

h (t) = - t² + 4/3t + 1/4

After how many seconds will the grasshopper land on the ground?

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  1. 27 January, 02:53
    0
    We are given

    h (t) = - t² + 4/3t + 1/4

    We are to determine the time the grasshopper will land on the ground

    The height when the grasshopper lands on the ground is 0

    So,

    0 = - t² + 4/3t + 1/4

    Solving for t

    t = 1.5 s
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