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An airplane is flying with a velocity of 240 m/s at an angle of 30.0° with...

An airplane is flying with a velocity of 240 m/s at an angle of 30.0° with the horizontal, as the drawing shows. When the altitude of the plane is 2.4 km, a flare is released from the plane. The flare hits the target on the ground. What is the angle θ?

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Expert Solution

It seems to behorizantal prohection of the projectile.

Horizantal component of the velocity=V0 cos theta
                                    =240*cos (-30)
                                    =240* 3/2

                                            =207.846


-2400=240*sqrt(3)/2*t-(1/2)g t^2
-2400=207.85 t-0.5 t^2
-4800=415.69t-t^2
t^2-415.69t+4800=0



t=11.8869 sec

horizantal distance =Vocos theta*t= 2470.65 m

from the figure tan theta=2400/2470.65

theta =440 from the horizantal.(see figure)

genius_generous answered 8 months ago
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