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A plane drops a hamper of medical supplies from a height of 5300 m during a practice run over the ocean. The plane is horizontal velocity was 104 m/s at the instant the hamper was dropped. What is the magnitude of the overall velocity of the hamper at the instant it strikes the surface of the ocean

Respuesta :

Answer:

[tex]v = 339 m/s[/tex]

Explanation:

As we know that the horizontal speed of the plane is always constant

so here the speed in x direction always remain the same and given as

[tex]v_x = 104 m/s[/tex]

now in order to find vertical speed we can use kinematics so we will have

[tex]v_f^2 - v_i^2 = 2a d[/tex]

here we have

[tex]v_f^2 - 0^2 = 2(9.81)(5300)[/tex]

[tex]v_y = 322.5 m/s[/tex]

now net speed at which it will strike is given as

[tex]v = \sqrt{v_x^2 + v_y^2}[/tex]

[tex]v = \sqrt{104^2 + 322.5^2}[/tex]

[tex]v = 339 m/s[/tex]

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