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18 December, 04:12

The first equation in the system models the heights in feet, h, of a falling baseball as a function of time, tThe second equation models the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, tWhich statement describes the situation modeled by this system?

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  1. 18 December, 06:05
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    The height of the baseball is 35 feet at the moment the player begins to leap.
  2. 18 December, 07:56
    0
    The height of the baseball is 35 feet at the moment the player begins to leap.

    Step-by-step explanation:

    Given the equations:

    1. h (t) = 35 + 16t^2

    Comparing the equation above yo the equation of motion,

    h (t) = ut + 1/2 * at^2

    Where,

    h (t) represents the heights in feet, h, of a falling baseball as a function of time, t.

    2. h (t) = 6 + 18t - 16t^2

    Where,

    h represents the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

    At the time, when the leap time of the glove of the player, t = 0 sec

    From equation 1,

    h (t) = 35 + 16t^2

    = 35 + (16 * 0)

    h (0) = 35 ft

    This means that the height of the baseball falling is 35 feet at the moment the player begins to catch it.

    From equation 2,

    h (t) = 6 + 18t - 16t^2

    = 6 + (18 * 0) + (16 * 0)

    h (0) = 6 ft

    This means that the height of the glove of the baseball player as he just leaps to catch the ball is 6 feet.
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