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10 April, 15:30

A bird is flying with a speed of 18.0 m/s over water when it accidentally drops a 2.00 kg fish. if the altitude of the bird is 5.40 m and friction is disregarded, what is thw speed of the fish when it hits the water?

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  1. 10 April, 17:10
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    In the given question there are several important information's provided and based on them the required answer can be easily deduced. Firstly the speed of the bird is 18.0 m/s. Then we also come to know that the weight of the fish is 2 kg. Altitude at which the bird is flying is 5.40 m. Also there are no frictional forces to be considered. Then:

    Horizontal component (Vx) = 18 m/s

    Vertical component (Vy) = sqrt (2 * g * h) where sqrt means square root.

    Height (h) = 5.40 m

    Gravity (g) = 9.8 m/s^2

    Now we have to put all the known information's in the equations to deduce the actual solution.

    Vy = sqrt (2 * 9.8 * 5.40) m/s

    = sqrt (105.84) m/s

    = 10.28 m/s

    Now to find the speed of the fish when it hits water:

    V = sqrt (Vx^2 + Vy^2)

    = sqrt (324 + 105.84)

    = sqrt (429.84)

    = 20.73 m/s

    So the velocity or speed of the fish when hitting the water is 20.73 m/s
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