A rescue airplane is diving at an angle of 37º below the horizontal with a speed of 250 m/s. It releases a survival package when it is at an altitude of 600 m. If air resistance is ignored, the horizontal distance of the point of impact from the plane at the moment of the package's release is what? 1. 720 m.
2. 420 m.3. 2800 m.
4. 6800 m
5. 5500 m

The correct option is 1.  720 m

Explanation:

Projectile Motion

When an object is launched in free air (no friction) with an initial speed vo at an angle , it describes a curve which has two components: one in the horizontal direction and the other in the vertical direction. The data provided gives us the initial conditions of the survival package's launch.

The initial velocity has these components in the x and y coordinates respectively:

And we know the plane has an altitude of 600 m, so the package will reach ground level when:

The vertical distance traveled is given by:

We'll set up an equation to find the time when the package lands

Solving for t, we find only one positive solution:

The horizontal distance is:

The correct option is 1.  720 m

Hey, how you doing?

(You can trust this answer because i want to be an astrophysicist when i grow up!)

Answer

Astro= observation of celestial objects, physics= study of natural phenomena, and the mathmatics describing them. astro+physics= study of the physics describing celestial phenomena.

Physics (study of mathematics describing natural phenomena)

electromagnetism (study of electric and magnetic fields as well as light)

chemistry (study of molecules and atoms)

thermodynamics (study of energy [mostly heat energy])

ALSO

astronomy (observation of celestial objects)

Hope it helped (hope it made sence even more than it helped)