Two projectiles A and B are launched with an angle of projection of 15^ for projectile A and 45^ for projectile B . If R_A and R_B denote the horizontal ranges for the two projectiles, then

Step-by-step solution

The horizontal range of a projectile is given by R = u^2 (2 ) g . For projectile A , _A = 15^ , so R_A = u_A^2 (30^ ) g = u_A^2 2g . For projectile B , _B = 45^ , so R_B = u_B^2 (90^ ) g = u_B^2 g . Since the initial velocities u_A and u_B are not provided in the question, the ranges cannot be compared. Therefore, the information is insufficient to determine the relation between R_A and R_B .