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?

Remains the same

Doubled

Halved

Becomes four times

The horizontal distance or range $R$ is given by:

R = u cos(theta) cdot T

where $u$ = initial velocity, $theta$ = angle of projection, and $T$ = 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.