Two bullets are fired simultaneously and horizontally from the same place, with different speeds. Which bullet will hit the ground first?

Step-by-step solution

The vertical motion of a projectile is independent of its horizontal motion. For both bullets, the initial vertical velocity is zero ( u_y = 0 ). Using the equation of motion for the vertical direction, h = u_y t + 1 2 g t^2 . Since u_y = 0 , the time taken to reach the ground is t = 2h g . As both bullets are fired from the same height h and experience the same acceleration due to gravity g , the time of flight t is the same for both. Therefore, both bullets will reach the ground simultaneously.