The constant angular velocity of a Ferris wheel means that it is rotating at a constant speed. This means that the ball will experience a consistent centripetal force as it travels in a circular path, resulting in a relatively stable trajectory.
The girl should throw the ball when she is at the top of the Ferris wheel, as this will give the ball the greatest vertical height and allow it to travel the furthest before being caught again.
The speed of the ball remains constant as it travels on the Ferris wheel. This is because the centripetal force acting on the ball is always perpendicular to its velocity, resulting in a constant speed.
The mass of the ball does not significantly affect its trajectory on the Ferris wheel. As long as the ball is thrown with enough force to overcome the force of gravity, it will follow a similar trajectory regardless of its mass.
The trajectory of a thrown ball on a Ferris wheel can also be affected by external factors such as wind resistance and the rotation of the Ferris wheel itself. Additionally, the angle and force at which the ball is thrown can also impact its trajectory.