# Object dropped on trampoline - Acceleration

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In summary, the acceleration of an object dropped on a trampoline can vary depending on factors such as weight, size, tension, and height. On average, it can be estimated to be around 9.8 m/s^2. The acceleration changes as the object bounces due to the elastic potential energy stored in the trampoline mat. The tension of the trampoline also plays a significant role, with higher tension resulting in a higher acceleration. The shape of the trampoline can also affect the acceleration, with a larger surface area and deeper dip resulting in a lower acceleration. Air resistance can also impact the acceleration, with the force of drag decreasing the acceleration of the object.
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## Homework Statement

For example, if given a question that has an object dropped onto a trampoline, the object will expand the trampoline when it hits it, would the acceleration be negative after the trampoline expands for example 1 meter?

## The Attempt at a Solution

What are your thoughts on this problem?

According to the Homework Help forum rules, you have to show you put some effort into a problem to get help here.

Well, I think that if the trampoline expands, the acceleration should be negative because your direction is negative.

## 1. What is the acceleration of an object dropped on a trampoline?

The acceleration of an object dropped on a trampoline can vary depending on a few factors such as the weight and size of the object, the tension and flexibility of the trampoline, and the height from which the object is dropped. However, on average, the acceleration can be estimated to be around 9.8 m/s^2, which is the acceleration due to gravity.

## 2. Does the acceleration of an object on a trampoline change as it bounces?

Yes, the acceleration of an object on a trampoline does change as it bounces. As the object bounces, it experiences a change in velocity and direction, resulting in a change in acceleration. This change in acceleration is due to the elastic potential energy stored in the trampoline mat, which is released as the object bounces.

## 3. How does the tension of a trampoline affect the acceleration of an object dropped on it?

The tension of a trampoline plays a significant role in the acceleration of an object dropped on it. A higher tension in the trampoline mat means that it is stiffer, which results in a higher acceleration of the object as it bounces. On the other hand, a lower tension in the trampoline mat will result in a lower acceleration of the object.

## 4. Can the shape of a trampoline affect the acceleration of an object dropped on it?

Yes, the shape of a trampoline can affect the acceleration of an object dropped on it. A trampoline with a larger surface area and a deeper dip in the center will provide more resistance to the object, resulting in a lower acceleration. On the other hand, a trampoline with a smaller surface area and a shallower dip in the center will provide less resistance, resulting in a higher acceleration.

## 5. How does air resistance impact the acceleration of an object dropped on a trampoline?

Air resistance, also known as drag, can have a significant impact on the acceleration of an object dropped on a trampoline. As the object falls through the air, it experiences a force in the opposite direction of its motion, which can decrease its acceleration. The impact of air resistance on the acceleration of the object will depend on its size, shape, and velocity.

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