Both balls A and B will travel the same horizontal distance.
In projectile motion, the horizontal and vertical motions are independent of each other. The horizontal distance traveled by a projectile is determined by its initial velocity and the time of flight. Since balls A and B are kicked at the same angle and with the same initial velocity, they will have the same time of flight. Therefore, both balls will travel the same horizontal distance.
The probable question may be:
Two balls, A and B, are kicked at an angle of 37° with the same initial velocity. Which ball experiences a greater horizontal distance traveled?
Additional Information:
Imagine you are on a soccer field, and two players kick balls A and B at an angle of 37°. The initial velocity for both kicks is identical, setting the balls on similar trajectories. Now, considering the physics of projectile motion, which ball, A or B, will travel a greater horizontal distance before hitting the ground?
Ball A has a mass of 0.2 kg, while Ball B has a mass of 0.3 kg. Additionally, the gravitational acceleration is approximately 9.8 m/s29.8 m/s2. Take air resistance into account, and think about how the mass and angle might influence the horizontal distances of the two balls.