Which of the following statements about a projectile is not correct?

Step 1: Analyze the question We are asked to find the statement that is NOT correct about a projectile.

Step 2: Key concepts For a projectile launched with speed u at angle θ:

• Time of flight: T = 2u sinθ / g
• Range: R = u² sin2θ / g
• Maximum height: H = u² sin²θ / 2g

Motion has a horizontal part (constant velocity) and a vertical part (acceleration g downward), so it is two-dimensional.

Step 3: Check each option

• A. Projectile motion is two-dimensional (horizontal and vertical). Correct.
• B. A projectile is an object launched into the air and moves freely under gravity. Correct. This is the standard definition.
• C. "The range is independent of g." From R = u² sin2θ / g, the range is inversely proportional to g, so it depends on g. This statement is false.
• D. "The time of flight depends on g." From T = 2u sinθ / g, this is true, so the statement is correct (despite the grammar slip).

Step 4: Conclusion The statement that is not correct is C.

Tip: Notice that g appears in the denominator of T, R, and H formulas. So if a statement says any of these is independent of g, it is almost certainly wrong. On the Moon (smaller g), a projectile would travel much farther and stay up longer.