Physics Help Please

Question

A warship calls in her fighter support. If the ship's guns are firing shells with a velocity of 350 m/sec at 35°, how low can the fighters come and still remain 100 meters above the maximum height of the ship's shells?

Answer 1

The vertical component of the guns velocity is 350 x sin 35 = 200.8 m/s.

Using the equation V²_final = V²_initial - 2 x g x Height, and solving for height gives

Height = - V²_initial / -2 x 9.8 m/s² where V_final = 0, and V_initial = 200.8 m/s.

Height = -200.8² / -2 x 9.8 = 2057 m. (max height of projectile)

Planes must stay 2057 + 100 = 2157 m