A relief package is dropped from an airplane traveling horizontally with a speed of 150 m/s. If the airplane is 10.0 km above the ground, how far (in meters) from the recipient must the relief package be released to make a direct receipt? Neglect air resistance.
Answers
Given : A relief package is dropped from an airplane traveling horizontally with a speed of 150 m/s.
the airplane is 10.0 km above the ground,
To Find : how far (in meters) from the recipient must the relief package be released to make a direct receipt
Explanation:
Horizonal speed = 150 m/s
Vertical speed U = 0 m/s as dropped
Vertical Height S = 10 km = 10000 m
a = g = 9.8 m/s²
t = ? time to reach ground
S = ut + (1/2) at²
=> 10000 =0 + (1/2) * 9.8 t²
=> t² = 10000/4.9
=> t = (100/7)√10
Horizontal Distance = 150 x (100/7)√10 = 6,776.3 m
6,776.3 m from the recipient must the relief package be released to make a direct receipt
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