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## A Bungee Jumper Falls for 1.3 s

Bungee jumping is a thrilling activity that involves jumping from a high structure with an elastic cord attached to one’s ankles. The cord stretches as the jumper falls, providing a safe and controlled descent.

### The Physics of Bungee Jumping

When a bungee jumper jumps, they experience several physical forces:

* **Gravity:** The force that pulls the jumper down toward the ground.
* **Drag:** The force that opposes the jumper’s motion through the air.
* **Elasticity:** The force that the bungee cord exerts when it is stretched.

The combination of these forces determines the jumper’s speed and acceleration.

### The Fall

**Initial Acceleration:**

When the jumper first jumps, they experience a brief period of free fall. During this time, the only force acting on them is gravity, which causes them to accelerate downward at a rate of 9.8 m/s虏.

**Cord Extension:**

As the jumper descends, the bungee cord begins to stretch. This stretches the elastic material in the cord, which exerts a restoring force that opposes the jumper’s motion.

**Maximum Speed:**

The jumper reaches their maximum speed when the force of elasticity equals the force of gravity. At this point, the jumper’s acceleration is zero, and they are traveling at a constant speed.

**Rebound:**

Once the jumper reaches the end of the cord’s extension, it begins to recoil. This creates a force that pulls the jumper back up toward the jumping platform.

### The Time of the Fall

The time it takes for a bungee jumper to complete the fall depends on:

* **Height of the jump:** The higher the jump, the more time it takes for the jumper to reach the end of the cord.
* **Length of the cord:** The longer the cord, the more time it takes for the cord to fully stretch.
* **Weight of the jumper:** Heavier jumpers experience greater gravitational force, which causes them to accelerate more quickly.

### Safety Precautions

Bungee jumping is a safe activity when proper precautions are taken. These precautions include:

* **Using high-quality equipment:** The bungee cord and harness must be in good condition and meet safety standards.
* **Jumping from a safe height:** The jump must be done from a height that is appropriate for the length of the cord.
* **Wearing appropriate clothing and accessories:** Jumpers should wear comfortable clothing and shoes, and should remove any loose jewelry or accessories.
* **Being trained by a certified instructor:** It is important to receive proper training from a certified instructor before bungee jumping.

### Conclusion

Bungee jumping is a thrilling activity that involves a combination of physics and safety. By understanding the forces involved and taking proper precautions, jumpers can enjoy a safe and exhilarating experience.

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