A battleship fires a heavy caliber gun towards a fighter aircraft that flies at an unknown altitude. The maximum speed of a bullet is 520 m/s and height to the exit of the riffle is 9 m. The gun is kept at angle of elevation of 30o .( Ignore air resistance.) (a) Write the position vector r(t)

The position vector

Explanation:

Given that:

The maximum speed of the projection of the bullet = 520 m/s

The height to the exit of the rifle = 9 m

The angle of the elevation = 30°

Taking the vector position with respect to the horizontal axis and vertical axis; we have:

Initial Velocity:

At the horizontal axis

At the vertical axis

The displacement in the (x) direction can be computed as:

where;   ; a = 0 ; t = t

The displacement in the (y) direction can be computed as:

where;   a = -g

∴

The position vector r(t) =

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!