The application of mathematics occurs in several areas of knowledge, especially in physics. In the study of physical phenomena, it is essential to create a mathematical model for a better understanding of the characteristics that each one demonstrates. Let's see how mathematics explains the behavior of uniform motion. We define uniform motion as any motion that has a constant scalar velocity. For example, imagine an airplane cruising at 450 km/h. If he maintains this speed throughout the entire journey, we say he is making a uniform movement because his speed is constant.
We know that:
Like
where S is the final position and SO is the starting position.
AND,
where t is the final instant and t0 the initial instant.
We have to:
Considering t0 = 0 and knowing that the average velocity in the uniform movement is equivalent to the scalar velocity, we will have:
As in Uniform Motion the scalar velocity is constant, the acceleration is also constant and equal to zero.
Mind Map: Uniform Movement
*To download the mind map in PDF, Click here!
Example: A car is at kilometer 3 of a highway at a constant speed of 90Km/h. Determine the position he will be in after a time of 4 hours maintaining the same speed throughout the journey.
Solution: We have to:
s0= 3km
V = 90 km/h
t = 4 hours
Y = ?
Using the hourly equation of uniform motion, we will have:
S = 3 + 90∙4
S = 3 + 360
S = 363 Km
Therefore, after 4 hours the car will be at kilometer 363.
By Marcelo Rigonatto
Specialist in Statistics and Mathematical Modeling
*Mind Map by Rafael Helerbrock
Graduated in Physics
Source: Brazil School - https://brasilescola.uol.com.br/matematica/equacao-horaria-movimento-uniforme.htm
