72 meter
rubber ball
A geometric sequence can describe a bungee jump by modeling the height of a jumper over time as they bounce. Each bounce reaches a height that is a constant fraction of the previous height, representing the energy loss due to air resistance and the elasticity of the bungee cord. For example, if the jumper initially falls from a height of 100 meters and each subsequent bounce reaches 80% of the height of the last, the heights of the bounces can be represented by the terms of a geometric sequence. This allows for the prediction of the jumper's height after each bounce and the eventual stabilization at a lower height.
If you have the equipment you can film the bounce with a height metric in the background so that the cameral will catch the object as it bounces up against the height metric (e.g., a meter stick). If the camera is really special and you can take slo mo pictures that's even better because you can see the exact moment the object reaches max height on the meter stick. A less precise method would be to time the fall from the max bounce height. In which case the height the ball fell from would be calculated as h = 4.9 T^2 where T is the timed fall in seconds and h is the bounce height in meters.
3 ft
The ball will jump up and down but with reduced height after every bounce due to damping. Damping means loss of energy due to external factors. In this case some amount of energy is lost due to sound produced when hitting the floor and also due to some air resistance. So u need to know the damping constant for this motion. It is a complicated problem. BUT if u neglect all external factors the collision with ground is elastic for any bounce the height will be same!
Yes, the initial height from which a ball is dropped can influence its bounce height. The higher the drop height, the higher the bounce height is likely to be, as potential energy is converted into kinetic energy during the bounce.
Yes, the height of a ball's bounce is affected by the height from which it is dropped. The higher the drop height, the higher the bounce height due to the conservation of mechanical energy. When the ball is dropped from a greater height, it gains more potential energy, which is converted to kinetic energy during the bounce resulting in a higher bounce height.
After each bounce, the ball reaches half of the height from which it was dropped. Since the ball was initially dropped from 10 feet, on the first bounce it will reach 5 feet, on the second bounce it will reach 2.5 feet, on the third bounce it will reach 1.25 feet, and on the fourth bounce it will reach 0.625 feet.
On the third bounce, the ball will bounce to a height of 35% of the previous bounce height (35% of 35% of 125m). Therefore, the ball will bounce to a height of (35/100) x (35/100) x 125m = 15.63m on the third bounce.
After the first bounce, the ball will rebound to 18 ft, and after the second bounce, it will rebound to 18 * 18/32 = 10.125 ft. After the third bounce, it will rebound to 1.8 * 18 ft ≈ 3.24 ft. Therefore, after the fourth bounce, it will rebound to approximately 1.8 * 10.125 ft = 18.225 ft.
Yes, the height of a bounce is affected by the height from which the ball is dropped. The higher the ball is dropped from, the higher it will bounce back due to the transfer of potential energy to kinetic energy during the bounce.
Yes - the greater the height an item dropped the resulting bounce is higher
The bounce height of a ball depends on factors like the material of the ball, the surface it bounces on, and the height from which it is dropped. In general, the bounce height is typically lower than the initial drop height due to energy losses during the bounce.
Yes - the greater the height an item dropped the resulting bounce is higher
Yes - the greater the height an item dropped the resulting bounce is higher
The drop height of the ball directly affects the height of its bounce. A higher drop height results in a higher bounce, as the potential energy transferred to the ball upon impact is greater, causing it to rebound higher. Conversely, a lower drop height will result in a lower bounce.