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In fighting forest fires, airplanes work in support of ground crews by dropping water on the fires. A pilot is practicing by dropping a canister of red dye, hoping to hit a target on the ground below. If the plane is flying in a horizontal path at an altitude of 84.0 m above the ground and with a speed of 67.0 m/s, at what horizontal distance from the target should the pilot release the canister? Ignore air resistance. Express your answer in meters.

Respuesta :

Answer:277.40 m

Explanation:

Given

Altitude of plane =84 m

Speed of plane=67 m/s

Time taken to cover 84 m

[tex]S=ut+\frac{at^2}{2}[/tex]

[tex]84=0+\frac{9.8\times t^2}{2}[/tex]

t=4.14 s

Horizontal distance=vt

[tex]=67\times 4.14=277.40[/tex]

Therefore Pilot must drop 277.40 m before the target.

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