The force exerted by the trampoline increases with each jump, propelling the student to greater heights as demonstrated by the increasing jump heights in the table.
The student is able to jump higher with each successive jump because the trampoline is exerting a greater upward force on them.
When the student first jumps on the trampoline, they compress the trampoline springs with their weight. This stores energy in the springs. When the student reaches their maximum height, the springs release their energy, propelling the student back up into the air.
With each successive jump, the student compresses the springs further and stores more energy. This means that the trampoline is able to exert a greater upward force on the student, which propels them higher into the air.
The table confirms this trend, as the student's height increases with each successive jump.
Here is a more detailed explanation of how the force exerted by the trampoline affects the height of the student's jumps:
When the student first jumps on the trampoline, they are exerting a downward force on the trampoline. This force compresses the trampoline springs.
The compressed springs store energy. When the student reaches their maximum height, the springs release their energy, propelling the student back up into the air.
The force exerted by the trampoline on the student is equal to the force exerted by the student on the trampoline.
The force exerted by the trampoline on the student is proportional to the compression of the springs.
Therefore, the greater the force exerted by the student on the trampoline, the greater the force exerted by the trampoline on the student, and the higher the student will jump.
This is why the student is able to jump higher with each successive jump. With each jump, they are compressing the springs further and storing more energy. This means that the trampoline is able to exert a greater upward force on the student, which propels them higher into the air.