If the horizontal distance (range) of a projectile is doubled, what happens to the time of flight, assuming the initial velocity and angle of projection remain the same?

Answer: Doubled
Explanation
  • The horizontal distance or range RR is given by:


    R = u cos(theta) cdot T

    where uu = initial velocity, θtheta = angle of projection, and TT = time of flight.

  • If the range is doubled but the initial velocity and angle remain the same, it implies horizontal velocity is increased, not the time.

  • However, if the range is doubled due to an angle change (e.g., using complementary angles), the time of flight may remain unchanged.

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