Question:

A ball falls from a table top with initial horizontal speed $V_0$. In the absence of air resistance, which of the following statement is correct

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In projectile motion, horizontal and vertical motions are independent.
Updated On: May 1, 2026
  • The vertical component of the acceleration changes with time
  • The horizontal component of the velocity does not change with time
  • The horizontal component of the acceleration is non zero and finite
  • The time taken by the ball to touch the ground depends on $V_0$
  • The vertical component of the acceleration varies with time
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The Correct Option is B

Solution and Explanation


Concept:
Projectile motion:
• Horizontal acceleration = $0$
• Vertical acceleration = $g$ (constant)

Step 1:
Horizontal motion.
No force acts horizontally $\Rightarrow$ velocity remains constant. \[ v_x = \text{constant} \]

Step 2:
Vertical motion.
Acceleration due to gravity is constant. \[ a_y = g \]

Step 3:
Check options.
Only correct statement: \[ \text{Horizontal velocity does not change} \]
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