Kinematics; proportionality

In summary, Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion. Scalar quantities only have magnitude, such as speed or distance, while vector quantities have both magnitude and direction, such as velocity or acceleration. Proportionality is a mathematical concept that describes the relationship between two quantities. In kinematics, proportionality is used to describe the relationship between different physical quantities, such as distance and time, or velocity and acceleration. Average velocity is the total displacement divided by the total time, while instantaneous velocity is the velocity at a specific moment in time. Kinematics equations can only be used to describe motion that is constant or uniform. For non-uniform or accelerated motion, other equations, such as
  • #1
General_Sax
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0

Homework Statement



The acceleration of a particle is directly proportional to the square of the time t...

Homework Equations


C = constant


The Attempt at a Solution




I'm just having a little difficutly with the wording.

In this case could I write: a = C / t^2 ?
 
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  • #2
oops, I meant this: In this case could I write: a = C * t^2
 
  • #3


Yes, you can write the equation as a = C/t^2, where C is the constant of proportionality. This means that the acceleration of the particle will increase as the square of the time increases, and the constant C determines the exact relationship between the two. This is an example of kinematics, which is the study of motion and its causes. In this case, we are specifically looking at the acceleration of a particle and how it changes over time. By understanding the relationship between acceleration and time, we can make predictions about the motion of the particle and better understand its behavior.
 

What is kinematics?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion.

What is the difference between scalar and vector quantities in kinematics?

Scalar quantities only have magnitude, such as speed or distance, while vector quantities have both magnitude and direction, such as velocity or acceleration.

How does proportionality relate to kinematics?

Proportionality is a mathematical concept that describes the relationship between two quantities. In kinematics, proportionality is used to describe the relationship between different physical quantities, such as distance and time, or velocity and acceleration.

What is the difference between average and instantaneous velocity?

Average velocity is the total displacement divided by the total time, while instantaneous velocity is the velocity at a specific moment in time.

Can kinematics equations be used to describe all types of motion?

No, kinematics equations can only be used to describe motion that is constant or uniform. For non-uniform or accelerated motion, other equations, such as those from Newton's laws of motion, must be used.

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