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In fighting forest fires, airplanes work in support of ground crewsby dropping water on the fires. A pilot is practicing by dropping acanister of red dye, hoping to hit a target on the ground below. Ifthe plane is flying in a horizontal path 90.0 m above the ground and with a speed of69.0 m/s (153 mi/h), at what horizontal distance from thetarget should the pilot release the canister?

Respuesta :

Answer:295.71 m

Explanation:

Given

Plane is flying 90 m above

Speed of plane=69 m/s

Let x be the distance from the target pilot release the canister

time taken to travel 90 m is

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

[tex]90=0+\frac{gt^2}{2}[/tex]

[tex]t^2=18.367[/tex]

t=4.28 s

x=ut

[tex]x=69\times 4.28=295.71 m[/tex]

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