A bullet is fired horizontally from a tower at 400 m/s while a stone is simultaneously dropped from the same height. Which statement is correct?

🏗️ Projectile Motion Problem

A bullet is fired horizontally from a tower at 400 m/s while a stone is simultaneously dropped from the same height. Which statement is correct?

(1) The stone will reach the ground first

(2) The bullet will reach the ground first

(3) Both will reach the ground simultaneously

(4) Depends on tower height

🧠 Scientific Explanation

Key Concept:
Vertical motion is independent of horizontal motion for projectiles

Analysis:

• Both objects start with zero vertical velocity
• Vertical acceleration = g = 9.8 m/s² for both
• Time of fall depends only on vertical parameters: \( t = \sqrt{\frac{2h}{g}} \)
• Horizontal velocity doesn't affect fall time

Conclusion:
Both objects land simultaneously regardless of horizontal velocity

✅ Correct Answer: (3) Both will reach the ground at the same time