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11 July, 08:53

A firecracker shoots up from a hill 145 feet high, with an initial speed of 80 feet per second. Using the formula H (t) = - 16t2 + vt + s, approximately how long will it take the firecracker to hit the ground?

13 seconds

11 seconds

Nine seconds

Six seconds

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Answers (1)
  1. 11 July, 11:10
    0
    Plugging in the given values gives us:

    0 = - 16t^2 + 80t + 145

    This a quadratic equation with two roots. Solving it using using the quadratic formula or by factoring, or by any other solution, the roots are:

    6.4531 and - 1.4131

    We are dealing with time, so we choose the positive root.

    Therefore, the answer is 6.4531 seconds
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