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Chapter 4: Q. 13 (page 106)

13. A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 100 m above the glacier at a speed of 150 m/s. How far short of the target should it drop the package?

Short Answer

Expert verified

The package is required to drop at short distance 680mfrom the target

Step by step solution

01

Step 1. Given information

The plane flies the distancea 100mabove the ground at a speed of 150m/s.

The following figure shows the motion of the package drop from a plane.

02

Step 2. Explanation

The height at which the package is dropped is,

h=uyt+12gt2

Here, h is the vertical height, uyis the initial velocity of the package, and g is the acceleration due to gravity.

(100m)=(0m/s)t+12(9.8m/s)t212(9.8m/s)t2=(100m)t=20.48=4.52s

Thus, the travel period of the package is 4.52s.

The horizontal distance traveled by the package is D=vt(I)

D=(150m/s)(4.52s)=678m鈮�680m

Therefore, the package is required to drop at 680mshort distance of the target.

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