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12 August, 16:28

A projectile is launched in the horizontal direction. It travels 2.050 m horizontally while it falls 0.450 m vertically, and it then strikes the floor. How long is the projectile in the air

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  1. 12 August, 17:35
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    0.303s

    Explanation:

    horizontal distance travel = 2.050 m, vertical distance travel = 0.45 m

    Using equation of linear motion

    Sy = Uy t + 1/2 gt² Uy is the inital vertical component of the velocity, t is the time taken for the vertical motion in seconds, and S is the vertical distance traveled, taken downward vertical motion as negative

    -0.45 = 0 - 0.5 * 9.81*t²

    0.45 / (0.5 * 9.81) = t²

    t = √0.0917 = 0.303 s
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