Velocity and acceleration with velocity degradation

In summary, the conversation discusses the use of "semi-Newtonian" motion in space-based first-person games and provides an example of the equation used to reduce velocity. The conversation also mentions the use of Algebrator to solve for the "chase" polynomial equation and the testing of a brute-force approximation solver. The speaker is seeking confirmation on whether their calculations are correct.
  • #1
Narf the Mouse
11
0
Maneuvering a spaceship using just Newtonian equations is a bit much for the average gamer. Therefore, most space-based first-person games use some form of "semi-Newtonian" motion. For example, reducing velocity by Velocity * 0.X per T = 1.

So, using my limited math to factor that:

Normal: V = A * T
Semi: V = (A * T) - ((A * T) * N), where N = V * (1 - ((1 - X) ^ T))
Semi, full: V = (A * T) - ((A * T) * (1 - ((1 - X) ^ T))

With values: A = 5, T = 3.5, X = 0.5

V = (5 * 3.5) - ((5 * 3.5) * (1 - ((1 - 0.5) ^ 3.5))

V = (17.5) - ((17.5) * (1 - ((0.5) ^ 3.5))

V = 17.5 - (17.5 * (1 - 0.0883~))

V = 17.5 - (17.5 * 0.9116~)

V = 17.5 - (15.9532~)

V = 1.5468~


Is this correct, so far? Thanks.
 
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  • #2
Can I get help, please? This isn't homework, unless you count self-set homework. All I need is confirmation that I'm resolving this correctly. I rather think I did, but a second opinion on this would be good.The eventual goal is to use Algebrator to resolve to the "chase" polynomial equation, where one semi-Newtonian object "chases" another. And yeah, it'll probably be a quintic or hexic, but I've got a brute-force approximation solver that needs testing.
 

FAQ: Velocity and acceleration with velocity degradation

1. What is velocity degradation and how does it affect velocity and acceleration?

Velocity degradation refers to the decrease in velocity over time due to external forces acting on an object. This decrease in velocity can have an impact on the acceleration of the object, as the rate of change in velocity will also decrease.

2. What are some common causes of velocity degradation?

Some common causes of velocity degradation include air resistance, friction, and gravity. These external forces can slow down an object's velocity and cause it to degrade over time.

3. How can we measure velocity and acceleration with velocity degradation?

Velocity and acceleration can be measured using various methods such as using a speedometer, accelerometer, or by calculating the change in position and time. However, when dealing with velocity degradation, it is important to account for the external forces acting on the object in order to get an accurate measurement.

4. Can velocity degradation be controlled or minimized?

Yes, velocity degradation can be controlled or minimized to some extent by reducing the impact of external forces on the object. This can be achieved by streamlining the object's shape, using lubricants to reduce friction, and reducing air resistance through aerodynamic design.

5. How does the concept of terminal velocity relate to velocity degradation?

Terminal velocity is the maximum velocity that an object can reach when falling through a fluid, such as air or water. This velocity is achieved when the force of air resistance equals the force of gravity, resulting in a constant velocity. In this case, there is no further increase or decrease in velocity, and the object experiences velocity degradation at a constant rate.

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