The basic principle is that both objects are acted upon by the force of gravity, causing them to accelerate downward at the same rate. This results in the objects reaching their maximum height at the same time and falling back to the ground at the same time.
Yes, the masses of the objects do affect their motion. The heavier object will experience a greater force of gravity and will therefore accelerate at a faster rate. This means that it will reach its maximum height and fall back to the ground sooner than the lighter object.
The maximum height reached by the objects is influenced by the initial velocity and the acceleration due to gravity. The higher the initial velocity and the lower the acceleration due to gravity, the higher the objects will go.
The objects eventually fall back to the ground because of the force of gravity. As the objects move upward, they are constantly being pulled downward by the force of gravity until it overcomes the initial upward velocity and causes them to fall back to the ground.
Yes, there is a difference in the motion of the objects when thrown vertically upward compared to horizontally. When thrown horizontally, the objects will experience a constant velocity due to inertia, while when thrown vertically upward, the objects will experience a changing velocity due to the force of gravity.