The airplane flies horizontally with constant speed of 412km/hour at an altitude
ID: 2289021 • Letter: T
Question
The airplane flies horizontally with constant speed of 412km/hour at an altitude of 775m . 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 = 9.80m/s2
After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 412km/hour in the horizontal direction.
If the package is to land right on the island, at what horizontal distance D from the plane to the island should the package be released?
What is the speed vf of the package when it hits the ground?
Explanation / Answer
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The airplane flies horizontally with constant speed of 220mph at an altitude of 700 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
A) After a package is ejected from the plane, how long will it take for it to reach sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of 220 mph in the horizontal direction.
B) If the package is to land right on the island, at what horizontal distance from the plane to the island should the package be released?
C) What is the speed vf of the package when it hits the ground?
Answer
X Axis/Direction:
ax=0
Vix=220mph
t=13.6s
delta (change in)x=?
Y Axis/Direction:
ay= -9.8 m/s
delta (change in)y= -900m
Viy=0
t=13.6s
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