Terminal Velocity Equation with a Vi greater than 0

In summary, the Terminal Velocity Equation with a Vi greater than 0 is a mathematical formula used to calculate the maximum speed an object can reach while falling through a fluid, such as air or water. It takes into account the object's mass, the gravitational force, and the drag force exerted by the fluid. This equation is important for understanding the behavior of objects in free fall and can also be used in engineering and physics applications.
  • #1
speedx77
Doing a skydiving project where the two people collide and move at an intital velocity of 75.73 m/s. When i use the normal terminal velocity equation i get:

V = sqrt((2*m*g)/(DpA)) = 63.82 m/s

When D is 1
p = .9798
A = .835

Is the a formula that factors in Vi? Or does it slow down to its terminal velocity because of the balancing of forces.
 
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  • #2
As you suggest, it will slow down to the terminal velocity because of the balancing of forces. Any higher velocity causes a higher aerodynamic drag that will slow it.
 
  • #3
Gracias
 

1. What is the terminal velocity equation with an initial velocity greater than 0?

The terminal velocity equation with an initial velocity (Vi) greater than 0 is given by Vt = (mg/cd)^1/2 + Vi, where Vt is the terminal velocity, m is the mass of the object, g is the acceleration due to gravity, and cd is the drag coefficient.

2. How is the terminal velocity affected by an initial velocity greater than 0?

When an object has an initial velocity greater than 0, it will reach its terminal velocity faster because it already has some initial velocity to overcome the force of gravity. However, the final terminal velocity will remain the same regardless of the initial velocity.

3. Is there a limit to the initial velocity in the terminal velocity equation?

There is no limit to the initial velocity in the terminal velocity equation, but it is important to note that the equation assumes a constant initial velocity. Any changes in the initial velocity during the free fall will affect the final terminal velocity.

4. How does the mass of an object affect the terminal velocity with an initial velocity greater than 0?

The mass of an object does not affect the terminal velocity when there is an initial velocity greater than 0. This is because the gravitational force and the drag force both increase in proportion to the mass, resulting in a constant terminal velocity.

5. Can the terminal velocity equation be used for all objects?

The terminal velocity equation can be used for most objects falling through a medium, such as air or water. However, it may not be accurate for very small or very large objects, or for objects that experience a change in shape or orientation during free fall.

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