Horizontal range in projectile motion Steps:

• Horizontal velocity remains constant at V cos θ, as no horizontal acceleration acts.
• Total time of flight is given as T.
• Horizontal displacement R equals horizontal velocity multiplied by time: R = (V cos θ) T.
• Vertical motion is independent and determines T, but not needed for R.

Why B is correct:

• It follows the kinematic equation for constant velocity motion: displacement = velocity × time.

Why the others are wrong:

• A: Lacks the time T factor, underestimating range.
• C: Describes vertical displacement (y = (V sin θ)T - (1/2)gT²), not horizontal.
• D: Incorrectly mixes vertical velocity without proper time or acceleration terms.

Final answer: B