1. The girl's height will continuously vary, increasing and decreasing.
2. The girl's speed will also continuously vary, increasing and decreasing.
3. The girl's distance from the swing's pivot point will remain constant.
The next moment for the girl on the swing will involve several changes.
First, the girl's height above the ground will constantly change as she swings back and forth. The height will increase as she swings forward, reaching its maximum point at the highest point of the swing. Then, as she swings back, the height will decrease until she reaches the lowest point of the swing. Therefore, the height will continuously vary, increasing and decreasing.
Second, the girl's speed will also change. As she swings forward, her speed will increase due to the force of gravity pulling her downward. Then, as she swings back, her speed will decrease until she momentarily stops at the highest point of the swing. This change in speed is due to the conversion of potential energy (at the highest point) to kinetic energy (as she swings downward). Therefore, the speed will also continuously vary, increasing and decreasing.
Third, the girl's distance from the swing's pivot point will remain constant. When swinging, the girl's distance from the pivot point determines the length of the swing arc. As she swings back and forth, the distance from the pivot point will stay the same unless she intentionally changes it by moving closer or farther from the pivot point. Therefore, the distance from the pivot point will remain constant, or the same.