How to find the maximum/terminal velocity?

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In summary, the conversation discusses finding the maximum speed of an object dropped from rest at a height of 100 m on Earth, with only the given information of g = 9.8m/s2 and no prior experience with this type of problem. The speaker also questions if there are any equations that can be used to solve this problem, ruling out terminal velocity due to the lack of additional information required. Additionally, the concept of acceleration is mentioned as a key factor in determining the object's maximum speed.
  • #1
Jessica Lewis
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In my grade 11 physics class we were asked to find the maximum speed of an object that is dropped from rest at a height of 100 m on Earth. We were given no information other than g = 9.8m/s2 and we have not done anything similar to this before, so how would you determine the maximum speed of an object? Are there any equations for this sort of thing?
Thank you to anyone who helps! :)
 
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  • #2
Well, you're most likely not looking for the terminal velocity, since you'd have to know several other things to find that (and possibly solve a differential equation), so assuming no air resistance, where during the fall would the object have the most speed if it's constantly accelerating?
 

1. What is maximum/terminal velocity?

Maximum/terminal velocity is the maximum speed that an object can reach when it falls through a fluid (such as air or water). It is the point at which the force of gravity is equal to the force of air resistance, resulting in a constant velocity.

2. How is maximum/terminal velocity calculated?

Maximum/terminal velocity can be calculated using the formula Vt = √(2mg/pACd), where Vt is terminal velocity, m is the mass of the object, g is the acceleration due to gravity, p is the density of the fluid, A is the cross-sectional area of the object, and Cd is the drag coefficient.

3. Does an object's shape affect its maximum/terminal velocity?

Yes, an object's shape can greatly affect its maximum/terminal velocity. Objects with a larger surface area or a streamlined shape will experience more air resistance and therefore reach a lower maximum velocity compared to objects with a smaller surface area or a less streamlined shape.

4. Can maximum/terminal velocity be exceeded?

No, maximum/terminal velocity cannot be exceeded. This is because as an object falls and reaches its terminal velocity, the force of gravity and air resistance are balanced, resulting in a constant velocity. In order for an object to exceed its terminal velocity, it would need to experience a change in one of these forces.

5. How does air density affect maximum/terminal velocity?

Air density does affect maximum/terminal velocity. As the density of the air increases, the force of air resistance also increases, resulting in a lower maximum velocity. This is why objects typically reach a higher maximum velocity in less dense air, such as at higher altitudes.

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