Final answer:
It will take approximately 24.7 seconds for the bomb to hit the ground when dropped from a height of 3000 meters, assuming no air resistance.
Step-by-step explanation:
The question is asking for the time it will take for a bomb to fall to the ground from a height of 3000 meters when dropped from a fighter jet, assuming no air resistance. To solve this, we use the physics formula for an object in free fall under the acceleration due to gravity:
Distance = ½ × (gravity) × (time)^2
Where the acceleration due to gravity (g) is approximately 9.81 m/s^2. Rearranging the formula to solve for time (t) gives us:
t = √(2 × Distance / g)
Substituting in the given values:
t = √(2 × 3000 m / 9.81 m/s^2) = √(6000 / 9.81) = √(612) ≈ 24.7 seconds
The bomb will take approximately 24.7 seconds to hit the ground.