What is the meaning of Matthematic Moddel

[Minorail]

what is the meaning of Matthematic Moddel,
focusing on a certain problems will there be some other Matthematic Moddels ?
Can u help me to simulate a ball droping from h in frictionless ari with Matt Modd is
s=1/2gt^2
v=2gh

thank u

 

[Jameson]

I'm kind of confused on what you are asking. We make mathematical models to represent real world things in terms of an equation where we can get definitive answers, well hopefully.

By the way, the standand forms for the position, velocity, and acceleration functions for Earth are:

$$s(t) = \frac{1}{2}gt^2+v_{0}t+h_{0}$$

$$v(t) = gt + v_{0}$$

$$a(t) = g$$

That's for dropping something on earth, assuming no friction. You can use "a" as -32ft/sec or -9.8 m/sec.

Jameson

 

[tacman]

A mathematical model is a representation of a real-world problem or situation using mathematical equations, formulas, and other mathematical tools to describe and predict its behavior. It is a simplified version of the problem that allows for analysis and understanding.

In the context of the specific problem mentioned, a mathematical model can be used to simulate the motion of a ball dropping from a certain height in a frictionless environment. The equations provided, s=1/2gt^2 and v=2gh, represent the displacement and velocity of the ball at any given time, t, based on the acceleration due to gravity, g, and the initial height, h.

There are certainly other mathematical models that can be used to describe the same problem, such as using differential equations or vector calculus. Different models may be more appropriate for different situations, depending on the level of accuracy and complexity needed.

In order to simulate the ball dropping using the given mathematical model, you would need to input the values for g and h, as well as the time interval, into the equations. This would allow you to calculate the position and velocity of the ball at different points in time, and visualize its motion.

I hope this helps to clarify the meaning of mathematical models and how they can be used to solve problems. Good luck with your simulation!