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

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Choosing the correct kinematics equation involves identifying known and unknown variables in a problem. A practical approach is to list all known values and the desired outcomes, then select equations that connect these variables. Understanding the physical meaning of each equation can enhance intuition and improve problem-solving skills over time. In specific cases, such as when given initial velocity and acceleration, certain equations may be more appropriate than others. Correct application of the equations is crucial, as errors in calculations can lead to different answers despite using valid equations.
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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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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
 
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.
 
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?
 
Last edited:
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
 
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