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29 August, 07:53

An airplane is moving horizontally with a constant velocity of ( + 115 m/s) at altitude of 1050 m. The directions to the right and upward have been chosen as the positive directions. The plane releases a "care package' that falls to the ground along a curved trajectory. Ignoring air resistance, determine the time required for the package to hit the ground

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  1. 29 August, 11:48
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    The time required for the package to hit the ground = 14.63 seconds.

    Explanation:

    Considering vertical motion of care package:-

    Initial velocity, u = 0 m/s

    Acceleration, a = 9.81 m/s²

    Displacement, s = 1050 m

    We have equation of motion s = ut + 0.5 at²

    Substituting

    s = ut + 0.5 at²

    1050 = 0 x t + 0.5 x 9.81 x t²

    t = 14.63 seconds

    The time required for the package to hit the ground = 14.63 seconds.
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