How Do You Choose the Correct Kinematics Equation for a Problem?

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In summary, both equations are valid, but equation 4 seems the obvious choice as you are given all the required variable.
  • #1
PhillyGixxer
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Are there any hints in problems that can help me pick out which of the 4 equations are to be used ? :confused: :confused:
 
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  • #2
What four equations are you referring to? A good hint is to, before you start trying to do a problem, write down every variable that you know the value of, and then write down the variables you are supposed to solve for, look for equations that lead you from your knowns to your unknowns. This is a good short term solution.

In the long term, try, before doing every problem, to think through what the different equations mean, physically, not mathematically, in the long run you will gain an intuition about what you are solving for and what should be in equations, making the job of remembering equations and thinking through problems much easier.

~Lyuokdea
 
  • #3
Lyuokdea said:
What four equations are you referring to? A good hint is to, before you start trying to do a problem, write down every variable that you know the value of, and then write down the variables you are supposed to solve for, look for equations that lead you from your knowns to your unknowns. This is a good short term solution.

In the long term, try, before doing every problem, to think through what the different equations mean, physically, not mathematically, in the long run you will gain an intuition about what you are solving for and what should be in equations, making the job of remembering equations and thinking through problems much easier.

~Lyuokdea

My head hurts :rolleyes:

Just not an easy subject for me to catch onto. I will post the equations but thanks for the hints.
 
  • #4
i was going to make a thread on this as well

we are given 4 kinematics eq, for example in the x-axis

1) V (final) = V (initial) + at

2) X = 1/2 (V initial + V final)t

3) X = V (initial)t + 1/2 at(squared)

4) V (final squared) = V (inital squared) + 2ax

typically solving kinematics problems involving writing down wat is given which i always do and the general layout of a kinematics in 2d question is usually like "guy kicks a ball at 28 degrees above the horizontal at a speed of 16m/s towards a goal post 16.8m away, solve for final velocity".

i did the qn twice using eq 1 and 4 to solve for final velocity, both times it gives a diff ans and only one was the correct one

from my understanding it appears to be no differences between eq 1 and 4 but when solving the problem, both eq leads to very different answers. in this case how do i know which is the correct equation to apply?
 
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  • #5
Ukitake Jyuushirou said:
i was going to make a thread on this as well

we are given 4 kinematics eq, for example in the x-axis

1) V (final) = V (initial) + at

2) X = 1/2 (V initial + V final)t

3) X = V (initial)t + 1/2 at(squared)

4) V (final squared) = V (inital squared) + 2ax

typically solving kinematics problems involving writing down wat is given which i always do and the general layout of a kinematics in 2d question is usually like "guy kicks a ball at 28 degrees above the horizontal at a speed of 16m/s towards a goal post 16.8m away, solve for final velocity".

i did the qn twice using eq 1 and 4 to solve for final velocity, both times it gives a diff ans and only one was the correct one

from my understanding it appears to be no differences between eq 1 and 4 but when solving the problem, both eq leads to very different answers. in this case how do i know which is the correct equation to apply?

You have a obviously made an error in one of your steps, both equations are valid provided you apply them correctly. However, equation 4 seems the obvious choice here as you are given all the required variable, whereas in equation one you have to calculate time.

~H
 

FAQ: How Do You Choose the Correct Kinematics Equation for a Problem?

What is kinematics?

Kinematics is the branch of physics that studies the motion of objects without considering the forces that cause the motion. It involves describing the position, velocity, and acceleration of an object over time.

What are the three main equations of kinematics?

The three main equations of kinematics are:

  • Position equation: x = x0 + v0t + 1/2at^2
  • Velocity equation: v = v0 + at
  • Acceleration equation: v^2 = v0^2 + 2a(x - x0)

How do you solve kinematics problems?

To solve kinematics problems, you need to first identify the given variables and the unknown variable. Then, choose the appropriate equation(s) based on the given information and use algebra to solve for the unknown variable. It is important to pay attention to units and use the correct equations for the given scenario.

What is the difference between linear and rotational kinematics?

Linear kinematics deals with the motion of objects in a straight line, while rotational kinematics deals with the motion of objects that are rotating around an axis. The equations and principles used in each type of kinematics are different, but they both follow the same principles of motion.

How does kinematics relate to other branches of physics?

Kinematics is closely related to other branches of physics, such as dynamics and mechanics. It provides the foundation for understanding the motion of objects in different scenarios, which is essential in many areas of physics, including mechanics, astrophysics, and engineering.

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