If R is the maximum horizontal range of a projectile, then the greatest height attained by it is

Explanation

(c) R/2 (Correct): This is the correct answer. For a projectile launched at an angle of 45 degrees (which maximizes the horizontal range), the maximum height (H) can be estimated as:H = R/2This relationship can be derived using the equations for the horizontal range and maximum height of a projectile, considering specific values for the launch angle and initial velocityIncorrect Options Explanation:a) R (Incorrect): While the maximum horizontal range (R) and maximum height (H) are related, they are not equal. Generally, the maximum height is less than the horizontal range.(b) 2R (Incorrect): This value is too high compared to the typical relationship between R and H for a projectile.d) R/4 (Incorrect): This value is too low compared to the typical relationship between R and H. The maximum height is usually closer to half the horizontal range, not a quarter.