assignmentProblemID-84184290 by Air - MC t Delivering a Package by Air-MC Part A
ID: 1654797 • Letter: A
Question
assignmentProblemID-84184290 by Air - MC t Delivering a Package by Air-MC Part A 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 After a package is dropped from the plane, how long will it toke for it to reach sea level from the time it is dropped? Assume hat the package·ike the plane, has an initial velocity of 432 km/hour in the horizontal direction y with constant speed of 432 km/hour at Express your answer in seconds using three significant figures. Neglect air resistance. an altitude of 825 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 is released, as shown in the figure. the that the due to gravity is g-9.80 m/s2 At My Answers Give Up Part B to the island should the package be released? Express the distance using three significant figures. Hints Bubmit My Answers aiveExplanation / Answer
ux = initial velocity in horizontal direction = 432 km/hr
ux= 432*1000 / 3600 = 120 m/s
h= height = 825 m
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a) t = time = ?
uy = initial velocity in vertical direction = 0
ay = vertical acceleration = g
From Sy = uy*t + (1/2)*ay*t2
h = 0 + (1/2)*g*t2
t = ( 2h/g)1/2
t = ( 2*825/ 9.8)1/2
t = 12.97 s
or t= 13.0 sec
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b) D= ?
from motion in horizontal direction:
horizontal acceleration, ax= 0
Sx= ux*t + (1/2)*ax*t2
D= 120*12.97 +0
D= 1556.4 m
or D= 1.56*103 m --------( in 3 significant form)
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c) Vf = final speed of package= ?
final speed in vertical direction, Vy2 - uy2 = 2*ay*S
Vy2 -0 = 2*g*h
Vy = ( 2*9.8*825)1/2
Vy = 127.16 m/s
final speed in horizontal direction, Vx= ux
Vx= 120m/s
Vf= ( 127.162 + 1202 )1/2 = 174.84 m/s
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d) @, direction=?
@ = tan-1 (Vy/ Vx)
@ =tan-1 ( 127.16 / 120)
@ = 46.659 degrees
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