A relief airplane is delivering a food package to a group of people stranded on

Question

A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with constant speed of 352 km/hour at an altitude of 525 m . The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is g = 9.80 m/s2 .

Need answer in ft/s^2 and i got 4.379 but it was wrong apparently

Explanation / Answer

as said in question that initilly it is moving in horizonatl direction with velocity 352Km/hour=97.77778m/sec but accelartion i horizontal is zero

and verically downward velocity is zero

time of flying=t

h=ut+0.5gt2

525=0*t+0.5*9.81*t2

t=10.34570second

now distance it cover on land,D =10.345*97.777778=1011.58017m

now speed of package when it hit ground Vf

let final vertical speed when it hit ground say Vy=0+9.80*10.34570=101.38786m/s

so vf2=101.38762+3522

vf =366.310m/s=1201.80446 ft/s

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