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) =

answer; /// i believe that the correct answer is (c)

5 w for 1hr = 5x60x60 joules=300x60=3000x6=18,000j as total energy conversion. efficiency of bulb needed for radiant to thermal within 18000