Question

In: Physics

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?

Solutions

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 7 months ago
Next > < Previous

Related Solutions

An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a...
An airplane flying in the air with a constant velocity of 240 m/s horizontally experiences a force due to gravity, directed downwards with a magnitude of 4×10^6 N, and a force generated by the engines, directed forwards with a magnitude of 3 × 10^6 N. a. In light of Newton’s first law, why must there be a third force acting on the airplane? Calculate the magnitude of this third force, and explain its physical origin. Draw this third force on...
An airplane is flying with a velocity of v0 at an angle of α above the...
An airplane is flying with a velocity of v0 at an angle of α above the horizontal. When the plane is a distance h directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the dog will the suitcase land? You can ignore air resistance. Take the free fall acceleration to be g.
An airplane is flying with a velocity of v0 at an angle of α above the...
An airplane is flying with a velocity of v0 at an angle of α above the horizontal. When the plane is a distance h directly above a dog that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the dog will the suitcase land? You can ignore air resistance. Take the free fall acceleration to be g.
An airplane is flying at a constant horizontal velocity of 184.5 m/s and drops a rocket....
An airplane is flying at a constant horizontal velocity of 184.5 m/s and drops a rocket. The rocket falls for 10.24 s without air resistance and under the influence of gravity only, and then fires its thrusters. From the moment the thrusters are one, the rocket has a net acceleration of 5.481 direscted 30.21 degrees above the horizontal. How far apart are the plane and the rocket when the rocket passes back through the cruising altitude of the plane?
An airplane with a speed of 98.6 m/s is climbing upward at an angle of 38.6...
An airplane with a speed of 98.6 m/s is climbing upward at an angle of 38.6 ° with respect to the horizontal. When the plane's altitude is 671 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package just before impact.
An airplane with a speed of 77.1 m/s is climbing upward at an angle of 72.5...
An airplane with a speed of 77.1 m/s is climbing upward at an angle of 72.5 ° with respect to the horizontal. When the plane's altitude is 625 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground, determine the angle of the velocity vector of the package just before impact
An airplane with a speed of 52.6 m/s is climbing upward at an angle of 52°...
An airplane with a speed of 52.6 m/s is climbing upward at an angle of 52° with respect to the horizontal. When the plane's altitude is 760 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. m (b) Relative to the ground determine the angle of the velocity vector of the package just before impact. ° clockwise from the...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9∘ above the horizontal. Determine x-values at each 1 s from t = 0 s to t = 6 s. Determine y-values at each 1 s from t = 0 s to t = 6 s. Determine vx-values at each 1 s from t = 0 s to t = 6 s. Determine vy-values at each 1 s from t = 0 s to...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9? above the horizontal. A.Determine x-values at each 1 s from t = 0 s to t = 6 s. B.Determine y-values at each 1 s from t = 0 s to t = 6 s. C.Determine vx-values at each 1 s from t = 0 s to t = 6 s. D.Determine vy-values at each 1 s from t = 0 s to...
​A football is kicked at an angle of 30° with an initial velocity of 28 m/s....
​A football is kicked at an angle of 30° with an initial velocity of 28 m/s. How high does it go?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT