Kinematic equations and their applications

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SUMMARY

The discussion centers on the application of kinematic equations in physics, specifically addressing the use of initial (vi) and final (vf) velocities. It is established that these velocities do not need to correspond strictly to the start (t=0) and end of motion; they can represent any two velocities during a time interval under constant acceleration. Additionally, the time variable (t) does not have to start from zero, although it is often convenient to do so. The importance of understanding the context and specific terms related to the motion is emphasized for accurate application of the equations.

PREREQUISITES
  • Understanding of kinematic equations for constant acceleration
  • Familiarity with the concepts of initial and final velocity (vi and vf)
  • Knowledge of time intervals in motion analysis
  • Basic principles of physics related to motion and acceleration
NEXT STEPS
  • Study the derivation and application of the kinematic equations in various scenarios
  • Explore the implications of using different time intervals in motion analysis
  • Learn about the role of initial displacement in kinematic equations
  • Investigate the effects of gravity on motion and how it influences kinematic calculations
USEFUL FOR

Students of physics, educators teaching kinematics, and anyone interested in understanding motion under constant acceleration will benefit from this discussion.

fishingspree2
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Hello,

I have a question concerning the kinematic equations

http://www.glenbrook.k12.il.us/gbssci/phys/Class/1DKin/U1L6a1.gif

vi and vf stand for initial and final velocity, my question is: do these velocities need to be the initial (t=0) and final (end of the motion)?

can't I just use two velocities in the motion, even if its not initial and final?

I have the same question for the t.. does the t value need to be calculated from t=0?

sorry for my bad english
 
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These equations are valid for any motion undergoing constant acceleration (or zero acceleration). They are good for any time interval. The vi and vf need to correspond to the initial and final values of velocity for any time interval you are interested in examining. So, no, you do not need to begin your analysis at t=0, but often it is convenient to do this.
 
fishingspree2 said:
Hello,

I have a question concerning the kinematic equations


vi and vf stand for initial and final velocity, my question is: do these velocities need to be the initial (t=0) and final (end of the motion)?

can't I just use two velocities in the motion, even if its not initial and final?

I have the same question for the t.. does the t value need to be calculated from t=0?

sorry for my bad english

You can take certain liberties with the equations in a gravity field because say the time to max height is equal to the time falling from max height if originally at rest.

But a more useful approach is understanding how to apply them in various situations and not to forget about the terms that may apply depending on the situation. For instance the d= ... equation may at times have an initial d that needs to be accounted for but isn't in the equation you show.
 

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