(Figure 1)A relief airplane is delivering a food package to a group of people stranded on a very smnall island. The İsland 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 392 km/hour at an altitude of 575 m. The positive x andy 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 free-fall acceleration is g-9.80 m/s.

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
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(Figure 1)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 392 km/hour at
an altitude of 575 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 free-fall acceleration is g-9.80 m/s
2.
Figure
1 of 1
vo
Transcribed Image Text:(Figure 1)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 392 km/hour at an altitude of 575 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 free-fall acceleration is g-9.80 m/s 2. Figure 1 of 1 vo
Part A
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 392 km/hour in the horizontal direction.
Express your answer numerically In seconds. Neglect air resistance.
Vlew Availlable Hint(s)
ΑΣΦ
S.
Submit
Part B
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?
Express the distance numerically in meters.
Transcribed Image Text:Part A 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 392 km/hour in the horizontal direction. Express your answer numerically In seconds. Neglect air resistance. Vlew Availlable Hint(s) ΑΣΦ S. Submit Part B 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? Express the distance numerically in meters.
Expert Solution
Step 1 Given

 velocity , V = 392 km/hr 

Hence , we get

V =  108.9 m /s 

Height of the plane , h = 575 m 

To find = a) Time taken by package to reach sea level .

               b) Distance from where the package is to be released in order to land on the island .

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