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12 June, 12:51

A ball thrown into the air from a roof 15 feet above the ground with an initial vertical velocity of 30 ft/sec can be modeled by the equation:. How long will the ball be in the air? What is it's maximum height?

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  1. 12 June, 15:13
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    Total time of flight = 6.3 s

    Total Max height = 60.87ft

    Step-by-step explanation:

    Height above ground = 15ft

    Velocity=30ft/sec

    Angle = 90°

    Max height traveled = U²Sin²tita/2g

    Max height traveled = (30²*1²) / (2*9.81)

    Max height traveled = 900/19.62

    Max height traveled = 45.87 ft

    Total Max height = 15+45.87 = 60.87ft

    Time travel to Max height

    = (usin90) / g

    Time travel to initial position

    = (30*sin90) / 9.81

    = 3.1 s

    Time to travel to the ground from Max height

    H = 1/2gt²

    60.87 = 1/2 * 9.81*t²

    (60.87*2) / 9.81 = t²

    3.5 = t

    Total time of flight = 3.5+3.1

    Total time of flight = 6.3 s
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