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?
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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(3)}}} 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(30000 + 875^2/81)}}} 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.