an airplane is traveling horizontally 500 m/s at an altitude of 3000 meters. what's the distance the airplane should drop the bomb so it hits the target on the floor

Answer 1

Vo*t + 0.5g*t^2 = 3000 m.
0 + 4.9t^2 = 3000
t^2 = 612.2
Tf = 24.74 s. = Fall time from 3000 m to
Gnd.

d = V * Tf = 500m/s * 24.74s = 12,370 m.