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A coin is dropped from a hot-air balloon that is 290 m above the ground and rising at 12.0 m/s upward. For the coin, find the following. (a) the maximum height (in m) reached

Respuesta :

Answer:

y = 297.34 m

Explanation:

When coin is dropped from the balloon then due to inertia the initial speed of the coin will be same as the speed of the balloon

So here we have

[tex]v_i = 12.0 m/s[/tex]

initial height of the coin is

[tex]y_i = 290 m[/tex]

now at the maximum height final speed of the coin will be zero

so we will have

[tex]v_f^2 - v_i^2 = 2 a (\Delta y)[/tex]

[tex]0 - 12^2 = 2(-9.81)(y - 290)[/tex]

[tex]7.34 + 290 = y[/tex]

[tex]y = 297.34 m[/tex]

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