Final answer:
Ball A has a greater maximum horizontal displacement due to its smaller angle of initial velocity, while both balls have the same maximum height.
Step-by-step explanation:
To determine which ball has a greater maximum horizontal displacement and maximum height, we need to consider the components of the initial velocity of the balls. Since both balls are kicked at the same angle of 37° and have the same initial velocity, their vertical components will be the same. However, the horizontal component, which affects the maximum horizontal displacement, will be greater for ball A due to the smaller angle of its initial velocity compared to ball B.
Therefore, ball A will have a greater maximum horizontal displacement.
As for the maximum height, this will be determined by the vertical component of the initial velocity. Since both balls have the same initial velocity and the same initial angle, they will have the same maximum height.