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27 August, 01:51

A rocket travels in a trajectory given by the equation s = - 4.9t 2 + v0t, where s is meters above ground, t is time in seconds and v0 is the initial velocity. If the intial velocity is 49 m/sec, after how many seconds will the rocket reach its maximum height?

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  1. 27 August, 02:16
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    Step-by-step explanation:

    s = - 4.9t² + 49t

    The vertex of the parabola is at t = - b / (2a).

    t = - 49 / (2 * - 4.9)

    t = 5

    The rocket reaches its maximum height after 5 seconds.
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