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1 September, 09:03

The projectile motion of an object can be modeled using s (t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s (t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is - 4.9 m/s2. A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds? s (t) = - 4.9t2 + 39.2 s (t) = - 4.9t2 + 39.2t s (t) = - 4.9t2 + 39.2t + 39.2 s (t) = - 4.9t2 + 39.2t - 39.2

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  1. 1 September, 10:41
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    Given the model:

    s (t) = gt2 + v0t + s0

    and the details of the system, we have:

    g = - 4.9

    v0 = 39.2 m/s

    s0 = 0

    Plugging in these values to the model, we have:

    s (t) = - 4.9t2 + 39.2t

    The second options is the answer.
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