SOLUTION: An airplane is moving at 350 km/hr. If a bomb is dropped from the airplane at 1.5 km, (a) with what velocity does the bomb strike the earth? (b) what is the bomb's range?

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Question 1185251: An airplane is moving at 350 km/hr. If a bomb is dropped from the airplane at 1.5 km, (a) with what velocity does the bomb strike the earth? (b) what is the bomb's range?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane is moving at 350 km/hr. If a bomb is dropped from the airplane at 1.5 km, (a) with what velocity does the bomb strike the earth? (b) what is the bomb's range?
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Neglecting air resistance, the bomb's horizontal speed is constant at 350 kph.
You didn't spec what to use for Earth's gravity, so I'll use 10 m/sec/sec.
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s = at^2/2
1500 = 10t^2/2
t^2 = 300
t+=+10sqrt%283%29 seconds from release to impact.
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Vertical component
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v = at = 100sqrt(3) m/sec
Speed at impact is the hypotenuse of the 2 components
Vertical: 100sqrt(3)
Horizontal: 350000/3600 m/sec = 875/9 m/sec
---> sqrt%2830000+%2B+875%5E2%2F81%29 m/sec = ~ 198.6 m/sec
That's the speed at impact.
Did you want the velocity?
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IDK what "range of the bomb" means.