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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Rest and Motion Kinematics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rest and Motion Kinematics

Two bullets are fired simultaneously and horizontally from the same...

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

Options

  1. ADepends on the masses
  2. BThe faster one
  3. CBoth will reach simultaneously
  4. DThe slower one

Correct answer

C. Both will reach simultaneously

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 (uy=0u_y = 0).

Using the equation of motion for the vertical direction, h=uyt+12gt2h = u_y t + \dfrac{1}{2} g t^2.

Since uy=0u_y = 0, the time taken to reach the ground is t=2hgt = \sqrt{\dfrac{2h}{g}}.

As both bullets are fired from the same height hh and experience the same acceleration due to gravity gg, the time of flight tt is the same for both.

Therefore, both bullets will reach the ground simultaneously.
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