Problem 3.47 In fighting forest fires, airplanes work in support of ground crews

Question

Problem 3.47 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 Part A If the plane is flying in a horizontal path at an altitude of 90.0 m above the ground and with a speed of 65.0 m/s, at what horizontal distance from the target should the pilot release the canister? Ignore air resistance Take free fall acceleration to be g. Submit My Answers Give Up Continue

Explanation / Answer

Here,

let the time of flight is t

Using second equation of motion

s = u * t + 0.50* gt^2

90 = 0.50 * 9.8 * t^2

solving for t

t = 4.29 s

horizontal distance travelled = u *t

horizontal distance travelled = 4.29 * 65

horizontal distance travelled = 278.6 m

the horizontal distance travelled is 278.6 m

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