An airplane is delivering food to a targetsiteonasmall andflatisland. It flies10

Question

An airplane is delivering food to a targetsiteonasmall andflatisland. It flies100m above the ground at a speed of150m/s East.Neglect the air resistance.

(a) Where should the food parcel be released so it will land on the target site(i.e., find the horizontal distance from the plane to the target point on theisland)?

(b) How long does it takefor the food parcel to land on the island?

(c) If the airplane flies at the same speed with a 37.1 degrees nose up angle to drop the food, how long does it take for the food to land on the ground?

Explanation / Answer

here,

a)

let the time taken to reach the ground be t

100 = 0 + 0.5 * g * t^2

t = 4.52 s

the horizontal distance from the plane to the target point on theisland, x = 150 * t = 677.3 m

b)

the time taken is 4.52 s

c)

theta = 37.1 degree

let the time taken for the food to land on the ground be t'

h = - u * sin(theta) * t' + 0.5 * g * t'^2

100 = - 150 * sin(37.1) * t' + 0.5 * 9.81 * t'^2

solving for t'

t' = 19.5 s

the time taken is 19.5 s

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