Projectile Motion

Step 1: Use the relationship between the maximum height and range for projectile motion.
The maximum height for a projectile is
given by:
where is the initial velocity, is the angle of projection, and is the acceleration due to gravity.
Step 2: Analyze the two projectiles.
For the two projectiles: The range of a projectile is
given by:

Step 3: Conclusion.
The relationship between and is .
Conclusion:
The correct answer is (C) .