A ball rolls off a 1.0 m high table and lands on the floor 3.0 m away from the table. a. How long is the ball in the air?

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A ball rolls off a 1.0 m high table and lands on the floor 3.0 m away from the table. a. How long is the ball in the air?

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Tryphena 2 months 2021-07-23T02:51:55+00:00 1 Answers 7 views 0

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    2021-07-23T02:53:31+00:00

    Answer:

    The ball is in the air for approximately 0.45 seconds

    Explanation:

    We only need to use the information on the height of the table to find the time, since the vertical movement is a movement under the acceleration of gravity, and with no initial velocity in the y-direction (recall that the ball rolls off a 1.0 m high table)

    therefore the equation of motion for the vertical component is:

    y_f-y_i=\frac{1}{2}\, g\,t^2

    which for our information becomes:

    y_f-y_i=\frac{1}{2}\, g\,t^2\\1 = 4.9\,t^2\\t^2=\frac{1}{4.9} \\t=\sqrt{\frac{1}{4.9}} \\t\approx 0.45\,s

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